12101412960 has 960 divisors, whose sum is σ = 54423097344. Its totient is φ = 2463436800.

The previous prime is 12101412941. The next prime is 12101412971. The reversal of 12101412960 is 6921410121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36559995 + ... + 36560325.

Almost surely, 2^12101412960 is an apocalyptic number.

12101412960 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 12101412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27211548672).

12101412960 is an abundant number, since it is smaller than the sum of its proper divisors (42321684384).

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

12101412960 is a wasteful number, since it uses less digits than its factorization.

12101412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12101412960 in words is "twelve billion, one hundred one million, four hundred twelve thousand, nine hundred sixty".