12667920960 has 112 divisors (see below), whose sum is σ = 40619184192. Its totient is φ = 3344640000.

The previous prime is 12667920929. The next prime is 12667920961. The reversal of 12667920960 is 6902976621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12667920961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31635 + ... + 162285.

Almost surely, 2^12667920960 is an apocalyptic number.

12667920960 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 12667920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20309592096).

12667920960 is an abundant number, since it is smaller than the sum of its proper divisors (27951263232).

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

12667920960 is a wasteful number, since it uses less digits than its factorization.

12667920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130772 (or 130762 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 12667920960 in words is "twelve billion, six hundred sixty-seven million, nine hundred twenty thousand, nine hundred sixty".