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12601226456 = 23713313715091
BaseRepresentation
bin10111011110001011…
…10111010011011000
31012112012102121222222
423233011313103120
5201301403221311
65442224003212
7624161441360
oct135705672330
935465377888
1012601226456
115387077a45
122538160508
13125a89c720
148778039a0
154db431adb
hex2ef1774d8

12601226456 has 128 divisors (see below), whose sum is σ = 30831144960. Its totient is φ = 4693593600.

The previous prime is 12601226437. The next prime is 12601226471. The reversal of 12601226456 is 65462210621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827471 + ... + 842561.

It is an arithmetic number, because the mean of its divisors is an integer number (240868320).

Almost surely, 212601226456 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 12601226456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15415572480).

12601226456 is an abundant number, since it is smaller than the sum of its proper divisors (18229918504).

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

12601226456 is a wasteful number, since it uses less digits than its factorization.

12601226456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15185 (or 15181 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 12601226456 in words is "twelve billion, six hundred one million, two hundred twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 31 37 52 56 62 74 91 104 124 148 182 217 248 259 296 364 403 434 481 518 728 806 868 962 1036 1147 1612 1736 1924 2072 2294 2821 3224 3367 3848 4588 5642 6734 8029 9176 11284 13468 14911 15091 16058 22568 26936 29822 30182 32116 59644 60364 64232 104377 105637 119288 120728 196183 208754 211274 392366 417508 422548 467821 558367 784732 835016 845096 935642 1116734 1373281 1569464 1871284 2233468 2746562 3274747 3742568 3908569 4466936 5493124 6081673 6549494 7258771 7817138 10986248 12163346 13098988 14517542 15634276 17309377 24326692 26197976 29035084 31268552 34618754 42571711 48653384 50811397 58070168 69237508 85143422 101622794 121165639 138475016 170286844 203245588 225021901 242331278 340573688 406491176 450043802 484662556 900087604 969325112 1575153307 1800175208 3150306614 6300613228 12601226456