12546771120 has 480 divisors, whose sum is σ = 49721817600. Its totient is φ = 2805497856.

The previous prime is 12546771113. The next prime is 12546771179. The reversal of 12546771120 is 2117764521.

12546771120 is a `hidden beast` number, since 1 + 2 + 5 + 467 + 71 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4613121 + ... + 4615839.

It is an arithmetic number, because the mean of its divisors is an integer number (103587120).

Almost surely, 2^12546771120 is an apocalyptic number.

12546771120 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 12546771120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24860908800).

12546771120 is an abundant number, since it is smaller than the sum of its proper divisors (37175046480).

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

12546771120 is a wasteful number, since it uses less digits than its factorization.

12546771120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 12546771120 in words is "twelve billion, five hundred forty-six million, seven hundred seventy-one thousand, one hundred twenty".