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12212012001222 = 2341159293939521
BaseRepresentation
bin1011000110110101010010…
…1000110010011111000110
31121020110100010001200020000
42301231110220302133012
53100040200033014342
641550042035022130
72400201020206155
oct261552450623706
947213303050200
1012212012001222
1139890a3454340
12145292a13a946
136a77844b5c97
143030c912359c
151629e0bd644c
hexb1b54a327c6

12212012001222 has 160 divisors (see below), whose sum is σ = 30368641564800. Its totient is φ = 3636557683200.

The previous prime is 12212012001221. The next prime is 12212012001223. The reversal of 12212012001222 is 22210021021221.

It is a happy number.

12212012001222 is a `hidden beast` number, since 1 + 221 + 20 + 1 + 200 + 1 + 222 = 666.

12212012001222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12212012001221) and next prime (12212012001223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12212012001195 and 12212012001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212012001221) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 308980822 + ... + 309020342.

It is an arithmetic number, because the mean of its divisors is an integer number (189804009780).

Almost surely, 212212012001222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212012001222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15184320782400).

12212012001222 is an abundant number, since it is smaller than the sum of its proper divisors (18156629563578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12212012001222 is a wasteful number, since it uses less digits than its factorization.

12212012001222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42544 (or 42535 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12212012001222 its reverse (22210021021221), we get a palindrome (34422033022443).

The spelling of 12212012001222 in words is "twelve trillion, two hundred twelve billion, twelve million, one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 81 99 118 162 177 198 297 354 531 594 649 891 1062 1298 1593 1782 1947 2939 3186 3894 4779 5841 5878 8817 9558 11682 17523 17634 26451 32329 35046 39521 52569 52902 64658 79042 79353 96987 105138 118563 158706 173401 193974 237126 238059 290961 346802 355689 434731 476118 520203 581922 711378 869462 872883 1040406 1067067 1304193 1560609 1745766 1907411 2134134 2331739 2608386 2618649 3121218 3201201 3814822 3912579 4663478 4681827 5237298 5722233 6402402 6995217 7825158 9363654 11444466 11737737 13990434 14045481 17166699 20985651 23475474 25649129 28090962 34333398 35213211 41971302 51298258 51500097 62956953 70426422 76947387 103000194 116152219 125913906 153894774 154500291 188870859 230842161 232304438 309000582 348456657 377741718 461684322 692526483 696913314 1045369971 1277674409 1385052966 2077579449 2090739942 2555348818 3136109913 3833023227 4155158898 6272219826 6852980921 7666046454 9408329739 11499069681 13705961842 18816659478 20558942763 22998139362 34497209043 41117885526 61676828289 68994418086 75382790131 103491627129 123353656578 150765580262 185030484867 206983254258 226148370393 370060969734 452296740786 555091454601 678445111179 1110182909202 1356890222358 2035335333537 4070670667074 6106006000611 12212012001222