121979520000 has 1100 divisors, whose sum is σ = 492894157756. Its totient is φ = 29859840000.

The previous prime is 121979519957. The next prime is 121979520031. The reversal of 121979520000 is 25979121.

121979520000 is a `hidden beast` number, since 121 + 9 + 7 + 9 + 520 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 121840091136 + 139428864 = 349056^2 + 11808^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 673919910 + ... + 673920090.

Almost surely, 2^121979520000 is an apocalyptic number.

121979520000 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 121979520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246447078878).

121979520000 is an abundant number, since it is smaller than the sum of its proper divisors (370914637756).

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

121979520000 is an equidigital number, since it uses as much as digits as its factorization.

121979520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 121979520000 in words is "one hundred twenty-one billion, nine hundred seventy-nine million, five hundred twenty thousand".