121631584900 has 72 divisors (see below), whose sum is σ = 304413919040. Its totient is φ = 41319642240.

The previous prime is 121631584889. The next prime is 121631584909. The reversal of 121631584900 is 9485136121.

It is not an unprimeable number, because it can be changed into a prime (121631584909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720762 + ... + 873361.

Almost surely, 2^121631584900 is an apocalyptic number.

121631584900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121631584900 is an abundant number, since it is smaller than the sum of its proper divisors (182782334140).

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

121631584900 is a wasteful number, since it uses less digits than its factorization.

121631584900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594253 (or 1594246 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 121631584900 in words is "one hundred twenty-one billion, six hundred thirty-one million, five hundred eighty-four thousand, nine hundred".