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12242080944 = 24322272391567
BaseRepresentation
bin10110110011010111…
…10101010010110000
31011121011122010222100
423121223311102300
5200032433042234
65342434140400
7612240654042
oct133153652260
934534563870
1012242080944
115212376675
122457a21700
1312013638a2
14841c35a92
154b9b3d399
hex2d9af54b0

12242080944 has 120 divisors (see below), whose sum is σ = 34577786880. Its totient is φ = 4043136384.

The previous prime is 12242080937. The next prime is 12242080973. The reversal of 12242080944 is 44908024221.

It is a super-2 number, since 2×122420809442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12242080899 and 12242080908.

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, 7811649 + ... + 7813215.

It is an arithmetic number, because the mean of its divisors is an integer number (288148224).

Almost surely, 212242080944 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 12242080944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17288893440).

12242080944 is an abundant number, since it is smaller than the sum of its proper divisors (22335705936).

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

12242080944 is a wasteful number, since it uses less digits than its factorization.

12242080944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12242080944 in words is "twelve billion, two hundred forty-two million, eighty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 227 239 454 478 681 717 908 956 1362 1434 1567 1816 1912 2043 2151 2724 2868 3134 3632 3824 4086 4302 4701 5448 5736 6268 8172 8604 9402 10896 11472 12536 14103 16344 17208 18804 25072 28206 32688 34416 37608 54253 56412 75216 108506 112824 162759 217012 225648 325518 355709 374513 434024 488277 651036 711418 749026 868048 976554 1067127 1123539 1302072 1422836 1498052 1953108 2134254 2247078 2604144 2845672 2996104 3201381 3370617 3906216 4268508 4494156 5691344 5992208 6402762 6741234 7812432 8537016 8988312 12805524 13482468 17074032 17976624 25611048 26964936 51222096 53929872 85014451 170028902 255043353 340057804 510086706 680115608 765130059 1020173412 1360231216 1530260118 2040346824 3060520236 4080693648 6121040472 12242080944