121813996900 has 36 divisors (see below), whose sum is σ = 269323863732. Its totient is φ = 47806245760.

The previous prime is 121813996831. The next prime is 121813996903. The reversal of 121813996900 is 9699318121.

It can be written as a sum of positive squares in 6 ways, for example, as 1528497216 + 120285499684 = 39096^2 + 346822^2 .

It is a super-2 number, since 2×121813996900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121813996903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11486587 + ... + 11497186.

It is an arithmetic number, because the mean of its divisors is an integer number (7481218437).

Almost surely, 2^121813996900 is an apocalyptic number.

121813996900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121813996900 is an abundant number, since it is smaller than the sum of its proper divisors (147509866832).

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

121813996900 is a wasteful number, since it uses less digits than its factorization.

121813996900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22983840 (or 22983833 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 49.

The spelling of 121813996900 in words is "one hundred twenty-one billion, eight hundred thirteen million, nine hundred ninety-six thousand, nine hundred".