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12275312296 = 23132311092687
BaseRepresentation
bin10110110111010101…
…00110011010101000
31011200111011110211011
423123222212122220
5200114434443141
65350022313304
7613123301332
oct133352463250
934614143734
1012275312296
11522a1038a5
122466b88834
1312081ca600
14846406452
154bca04881
hex2dbaa66a8

12275312296 has 96 divisors (see below), whose sum is σ = 25972531200. Its totient is φ = 5430447360.

The previous prime is 12275312263. The next prime is 12275312303. The reversal of 12275312296 is 69221357221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4567065 + ... + 4569751.

It is an arithmetic number, because the mean of its divisors is an integer number (270547200).

Almost surely, 212275312296 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 12275312296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986265600).

12275312296 is an abundant number, since it is smaller than the sum of its proper divisors (13697218904).

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

12275312296 is a wasteful number, since it uses less digits than its factorization.

12275312296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2842 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The spelling of 12275312296 in words is "twelve billion, two hundred seventy-five million, three hundred twelve thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 109 124 169 218 248 338 403 436 676 806 872 1352 1417 1612 2687 2834 3224 3379 5239 5374 5668 6758 10478 10748 11336 13516 18421 20956 21496 27032 34931 36842 41912 43927 69862 73684 83297 87854 139724 147368 166594 175708 279448 292883 333188 351416 454103 571051 585766 666376 908206 1082861 1142102 1171532 1816412 2165722 2284204 2343064 3632824 3807479 4331444 4568408 7614958 8662888 9079373 14077193 15229916 18158746 28154386 30459832 36317492 49497227 56308772 72634984 98994454 112617544 118031849 197988908 236063698 395977816 472127396 944254792 1534414037 3068828074 6137656148 12275312296