12434472960 has 544 divisors, whose sum is σ = 49324638720. Its totient is φ = 2604662784.

The previous prime is 12434472949. The next prime is 12434472977. The reversal of 12434472960 is 6927443421.

It is a super-2 number, since 2×12434472960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 89456571 + ... + 89456709.

Almost surely, 2^12434472960 is an apocalyptic number.

12434472960 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 12434472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24662319360).

12434472960 is an abundant number, since it is smaller than the sum of its proper divisors (36890165760).

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

12434472960 is an equidigital number, since it uses as much as digits as its factorization.

12434472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 12434472960 in words is "twelve billion, four hundred thirty-four million, four hundred seventy-two thousand, nine hundred sixty".