121232424960 has 456 divisors, whose sum is σ = 431844716160. Its totient is φ = 31444697088.

The previous prime is 121232424893. The next prime is 121232424967. The reversal of 121232424960 is 69424232121.

It is a happy number.

121232424960 is a `hidden beast` number, since 1 + 2 + 123 + 2 + 42 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121232424967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507248521 + ... + 507248759.

Almost surely, 2^121232424960 is an apocalyptic number.

121232424960 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 121232424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215922358080).

121232424960 is an abundant number, since it is smaller than the sum of its proper divisors (310612291200).

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

121232424960 is an frugal number, since it uses more digits than its factorization.

121232424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 121232424960 in words is "one hundred twenty-one billion, two hundred thirty-two million, four hundred twenty-four thousand, nine hundred sixty".