12612262560 has 192 divisors, whose sum is σ = 41259818880. Its totient is φ = 3235921920.

The previous prime is 12612262511. The next prime is 12612262561. The reversal of 12612262560 is 6526221621.

It is not an unprimeable number, because it can be changed into a prime (12612262561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432251 + ... + 1441029.

It is an arithmetic number, because the mean of its divisors is an integer number (214894890).

Almost surely, 2^12612262560 is an apocalyptic number.

12612262560 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 12612262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629909440).

12612262560 is an abundant number, since it is smaller than the sum of its proper divisors (28647556320).

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

12612262560 is a wasteful number, since it uses less digits than its factorization.

12612262560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12612262560 in words is "twelve billion, six hundred twelve million, two hundred sixty-two thousand, five hundred sixty".