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12223321032 = 23313613591789
BaseRepresentation
bin10110110001001000…
…10001001111001000
31011112212100001012210
423120210101033020
5200013132233112
65340524105120
7611622341316
oct133044211710
934485301183
1012223321032
11520282300a
1224516951a0
1311ca4c5a50
1483d5510b6
154b8184b3c
hex2d89113c8

12223321032 has 128 divisors (see below), whose sum is σ = 33560352000. Its totient is φ = 3686999040.

The previous prime is 12223321031. The next prime is 12223321037. The reversal of 12223321032 is 23012332221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12223321031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6831594 + ... + 6833382.

It is an arithmetic number, because the mean of its divisors is an integer number (262190250).

Almost surely, 212223321032 is an apocalyptic number.

12223321032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223321032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16780176000).

12223321032 is an abundant number, since it is smaller than the sum of its proper divisors (21337030968).

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

12223321032 is a wasteful number, since it uses less digits than its factorization.

12223321032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12223321032 its reverse (23012332221), we get a palindrome (35235653253).

The spelling of 12223321032 in words is "twelve billion, two hundred twenty-three million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 359 366 488 718 732 793 1077 1436 1464 1586 1789 2154 2379 2872 3172 3578 4308 4667 4758 5367 6344 7156 8616 9334 9516 10734 14001 14312 18668 19032 21468 21899 23257 28002 37336 42936 43798 46514 56004 65697 69771 87596 93028 109129 112008 131394 139542 175192 186056 218258 262788 279084 284687 327387 436516 525576 558168 569374 642251 654774 854061 873032 1138748 1284502 1309548 1418677 1708122 1926753 2277496 2569004 2619096 2837354 3416244 3853506 4256031 5138008 5674708 6832488 7707012 8349263 8512062 11349416 15414024 16698526 17024124 25047789 33397052 34048248 39177311 50095578 66794104 78354622 100191156 117531933 156709244 200382312 235063866 313418488 470127732 509305043 940255464 1018610086 1527915129 2037220172 3055830258 4074440344 6111660516 12223321032