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12231230310112 = 251179827531857
BaseRepresentation
bin1011000111111100111000…
…1000110100011011100000
31121022021221110200220212011
42301333032020310123200
53100344024424410422
642002541042042304
72401451201143222
oct261771610643340
947267843626764
1012231230310112
113996265708250
1214565b2349394
136a9527c4b4a8
14303dcd688412
15163267ee5077
hexb1fce2346e0

12231230310112 has 96 divisors (see below), whose sum is σ = 26634087083520. Its totient is φ = 5482626938880.

The previous prime is 12231230310029. The next prime is 12231230310137. The reversal of 12231230310112 is 21101303213221.

12231230310112 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 (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22731288 + ... + 23263144.

It is an arithmetic number, because the mean of its divisors is an integer number (277438407120).

Almost surely, 212231230310112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12231230310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317043541760).

12231230310112 is an abundant number, since it is smaller than the sum of its proper divisors (14402856773408).

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

12231230310112 is a wasteful number, since it uses less digits than its factorization.

12231230310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532784 (or 532776 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12231230310112 its reverse (21101303213221), we get a palindrome (33332533523333).

The spelling of 12231230310112 in words is "twelve trillion, two hundred thirty-one billion, two hundred thirty million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 632 827 869 1264 1654 1738 2528 3308 3476 6616 6952 9097 13232 13904 18194 26464 27808 36388 65333 72776 130666 145552 261332 291104 522664 531857 718663 1045328 1063714 1437326 2090656 2127428 2874652 4254856 5749304 5850427 8509712 11498608 11700854 17019424 22997216 23401708 42016703 46803416 84033406 93606832 168066812 187213664 336133624 439845739 462183733 672267248 879691478 924367466 1344534496 1759382956 1848734932 3518765912 3697469864 4838303129 7037531824 7394939728 9676606258 14075063648 14789879456 19353212516 34747813381 38706425032 69495626762 77412850064 138991253524 154825700128 277982507048 382225947191 555965014096 764451894382 1111930028192 1528903788764 3057807577528 6115615155056 12231230310112