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12102213222 = 23211595931747
BaseRepresentation
bin10110100010101100…
…10001111001100110
31011020102110010112100
423101112101321212
5144241131310342
65320520232530
7605622054321
oct132126217146
934212403470
1012102213222
115150424a10
12241900b746
1311ab3a1818
1482b4277b8
154ac710e4c
hex2d1591e66

12102213222 has 96 divisors (see below), whose sum is σ = 29155800960. Its totient is φ = 3597039360.

The previous prime is 12102213203. The next prime is 12102213223. The reversal of 12102213222 is 22231220121.

12102213222 is a `hidden beast` number, since 121 + 0 + 221 + 322 + 2 = 666.

12102213222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12102213195 and 12102213204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102213223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6926553 + ... + 6928299.

It is an arithmetic number, because the mean of its divisors is an integer number (303706260).

Almost surely, 212102213222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102213222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14577900480).

12102213222 is an abundant number, since it is smaller than the sum of its proper divisors (17053587738).

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

12102213222 is a wasteful number, since it uses less digits than its factorization.

12102213222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12102213222 its reverse (22231220121), we get a palindrome (34333433343).

The spelling of 12102213222 in words is "twelve billion, one hundred two million, two hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 593 649 1062 1186 1298 1747 1779 1947 3494 3558 3894 5241 5337 5841 6523 10482 10674 11682 13046 15723 19217 19569 31446 34987 38434 39138 57651 58707 69974 103073 104961 115302 117414 172953 206146 209922 309219 314883 345906 384857 618438 629766 769714 927657 1035971 1133803 1154571 1855314 2071942 2267606 2309142 3107913 3401409 3463713 6215826 6802818 6927426 9323739 10204227 11395681 18647478 20408454 22791362 34187043 61122289 68374086 102561129 122244578 183366867 205122258 366733734 550100601 672345179 1100201202 1344690358 2017035537 4034071074 6051106611 12102213222