Search a number
-
+
12212002220022 = 23211217852138707
BaseRepresentation
bin1011000110110101010000…
…0011011110011111110110
31121020110022102122201221100
42301231110003132133312
53100040140032020042
641550041045230530
72400200541110433
oct261552403363766
947213272581840
1012212002220022
113989098983600
121452926a02446
136a778246cba7
143030c7ad8b8a
151629dee0324c
hexb1b540de7f6

12212002220022 has 144 divisors (see below), whose sum is σ = 30798602832816. Its totient is φ = 3482425267200.

The previous prime is 12212002219999. The next prime is 12212002220051. The reversal of 12212002220022 is 22002220021221.

12212002220022 is a `hidden beast` number, since 1 + 221 + 200 + 2 + 220 + 0 + 22 = 666.

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 = 12212002219977 and 12212002220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 315479193 + ... + 315517899.

It is an arithmetic number, because the mean of its divisors is an integer number (213879186339).

Almost surely, 212212002220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212002220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399301416408).

12212002220022 is an abundant number, since it is smaller than the sum of its proper divisors (18586600612794).

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

12212002220022 is a wasteful number, since it uses less digits than its factorization.

12212002220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47275 (or 47261 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12212002220022 its reverse (22002220021221), we get a palindrome (34214222241243).

The spelling of 12212002220022 in words is "twelve trillion, two hundred twelve billion, two million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 726 1089 1122 1683 2057 2178 3366 4114 6171 8521 12342 17042 18513 25563 37026 38707 51126 76689 77414 93731 116121 144857 153378 187462 232242 281193 289714 348363 425777 434571 562386 658019 696726 843579 851554 869142 1031041 1277331 1303713 1316038 1593427 1687158 1974057 2062082 2554662 2607426 3093123 3186854 3831993 3948114 4683547 4780281 5922171 6186246 7238209 7663986 9279369 9367094 9560562 11844342 14050641 14340843 14476418 17527697 18558738 21714627 28101282 28681686 35055394 42151923 43429254 52583091 65143881 79620299 84303846 105166182 130287762 157749273 159240598 238860897 315498546 329822347 477721794 659644694 716582691 989467041 1433165382 1978934082 2968401123 3628045817 5606979899 5936802246 7256091634 10884137451 11213959798 16820939697 21768274902 32652412353 33641879394 39908503987 50462819091 61676778889 65304824706 79817007974 100925638182 119725511961 123353557778 185030336667 239451023922 359176535883 370060673334 555091010001 678444567779 718353071766 1110182020002 1356889135558 2035333703337 4070667406674 6106001110011 12212002220022