121504968 has 64 divisors (see below), whose sum is σ = 363484800. Its totient is φ = 37385280.

The previous prime is 121504963. The next prime is 121505023. The reversal of 121504968 is 869405121.

121504968 is a `hidden beast` number, since 12 + 150 + 496 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (121504963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18828 + ... + 24443.

It is an arithmetic number, because the mean of its divisors is an integer number (5679450).

Almost surely, 2^121504968 is an apocalyptic number.

121504968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121504968 is an abundant number, since it is smaller than the sum of its proper divisors (241979832).

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

121504968 is a wasteful number, since it uses less digits than its factorization.

121504968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43299 (or 43289 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 121504968 is about 11022.9291932771. The cubic root of 121504968 is about 495.2958378490.

The spelling of 121504968 in words is "one hundred twenty-one million, five hundred four thousand, nine hundred sixty-eight".