12681222960 has 320 divisors, whose sum is σ = 47100413952. Its totient is φ = 2759589888.

The previous prime is 12681222949. The next prime is 12681222973. The reversal of 12681222960 is 6922218621.

It is a super-2 number, since 2×12681222960² (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 63 ways as a sum of consecutive naturals, for example, 9929842 + ... + 9931118.

Almost surely, 2^12681222960 is an apocalyptic number.

12681222960 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 12681222960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23550206976).

12681222960 is an abundant number, since it is smaller than the sum of its proper divisors (34419190992).

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

12681222960 is a wasteful number, since it uses less digits than its factorization.

12681222960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

It can be divided in two parts, 12681 and 222960, that added together give a triangular number (235641 = T₆₈₆).

The spelling of 12681222960 in words is "twelve billion, six hundred eighty-one million, two hundred twenty-two thousand, nine hundred sixty".