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12661225560 = 23335103113819
BaseRepresentation
bin10111100101010101…
…01111100001011000
31012200101022220022000
423302222233201120
5201412233204220
65452210001000
7625520433024
oct136252574130
935611286260
1012661225560
115407a28185
122554276160
13126a149159
14881781384
154e1834390
hex2f2aaf858

12661225560 has 128 divisors (see below), whose sum is σ = 42614208000. Its totient is φ = 3343517568.

The previous prime is 12661225543. The next prime is 12661225573. The reversal of 12661225560 is 6552216621.

12661225560 is a `hidden beast` number, since 1 + 2 + 66 + 12 + 25 + 560 = 666.

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

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, 54331 + ... + 168149.

It is an arithmetic number, because the mean of its divisors is an integer number (332923500).

Almost surely, 212661225560 is an apocalyptic number.

12661225560 is a gapful number since it is divisible by the number (10) 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 12661225560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21307104000).

12661225560 is an abundant number, since it is smaller than the sum of its proper divisors (29952982440).

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

12661225560 is a wasteful number, since it uses less digits than its factorization.

12661225560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113942 (or 113932 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12661225560 in words is "twelve billion, six hundred sixty-one million, two hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 309 360 412 515 540 618 824 927 1030 1080 1236 1545 1854 2060 2472 2781 3090 3708 4120 4635 5562 6180 7416 9270 11124 12360 13905 18540 22248 27810 37080 55620 111240 113819 227638 341457 455276 569095 682914 910552 1024371 1138190 1365828 1707285 2048742 2276380 2731656 3073113 3414570 4097484 4552760 5121855 6146226 6829140 8194968 10243710 11723357 12292452 13658280 15365565 20487420 23446714 24584904 30731130 35170071 40974840 46893428 58616785 61462260 70340142 93786856 105510213 117233570 122924520 140680284 175850355 211020426 234467140 281360568 316530639 351700710 422040852 468934280 527551065 633061278 703401420 844081704 1055102130 1266122556 1406802840 1582653195 2110204260 2532245112 3165306390 4220408520 6330612780 12661225560