12611957280 has 192 divisors, whose sum is σ = 45300705408. Its totient is φ = 2921840640.

The previous prime is 12611957269. The next prime is 12611957311. The reversal of 12611957280 is 8275911621.

It is a super-2 number, since 2×12611957280² (a number of 21 digits) contains 22 as substring.

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, 46635 + ... + 165525.

It is an arithmetic number, because the mean of its divisors is an integer number (235941174).

Almost surely, 2^12611957280 is an apocalyptic number.

12611957280 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 12611957280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22650352704).

12611957280 is an abundant number, since it is smaller than the sum of its proper divisors (32688748128).

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

12611957280 is a wasteful number, since it uses less digits than its factorization.

12611957280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118939 (or 118931 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 12611957280 in words is "twelve billion, six hundred eleven million, nine hundred fifty-seven thousand, two hundred eighty".