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12600971712 = 263472113439
BaseRepresentation
bin10111011110001001…
…11001000111000000
31012112011221200120000
423233010321013000
5201301322043322
65442214320000
7624156330600
oct135704710700
935464850500
1012600971712
115386a1360a
122538059000
13125a8107a4
14877778c00
154db3d13ac
hex2ef1391c0

12600971712 has 420 divisors, whose sum is σ = 43936097040. Its totient is φ = 3560288256.

The previous prime is 12600971657. The next prime is 12600971717. The reversal of 12600971712 is 21717900621.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12600971717) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28703589 + ... + 28704027.

Almost surely, 212600971712 is an apocalyptic number.

12600971712 is a gapful number since it is divisible by the number (12) 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 12600971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21968048520).

12600971712 is an abundant number, since it is smaller than the sum of its proper divisors (31335125328).

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

12600971712 is a wasteful number, since it uses less digits than its factorization.

12600971712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 12600971712 in words is "twelve billion, six hundred million, nine hundred seventy-one thousand, seven hundred twelve".