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12261620520 = 2332534060057
BaseRepresentation
bin10110110101101100…
…10111101100101000
31011122112101212020100
423122312113230220
5200102433324040
65344413025400
7612566024532
oct133266275450
934575355210
1012261620520
115222401a86
122462485260
131205415576
14844680852
154bb6ecb30
hex2dad97b28

12261620520 has 48 divisors (see below), whose sum is σ = 39850267860. Its totient is φ = 3269765376.

The previous prime is 12261620507. The next prime is 12261620533. The reversal of 12261620520 is 2502616221.

12261620520 is a `hidden beast` number, since 1 + 2 + 2 + 616 + 20 + 5 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12261620507) and next prime (12261620533).

It can be written as a sum of positive squares in 2 ways, for example, as 11613510756 + 648109764 = 107766^2 + 25458^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17029669 + ... + 17030388.

Almost surely, 212261620520 is an apocalyptic number.

12261620520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12261620520 is an abundant number, since it is smaller than the sum of its proper divisors (27588647340).

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

12261620520 is a wasteful number, since it uses less digits than its factorization.

12261620520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34060074 (or 34060067 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12261620520 in words is "twelve billion, two hundred sixty-one million, six hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 34060057 68120114 102180171 136240228 170300285 204360342 272480456 306540513 340600570 408720684 510900855 613081026 681201140 817441368 1021801710 1226162052 1362402280 1532702565 2043603420 2452324104 3065405130 4087206840 6130810260 12261620520