121564814812200 has 192 divisors, whose sum is σ = 422636554440000. Its totient is φ = 32114318526720.

The previous prime is 121564814812153. The next prime is 121564814812213. The reversal of 121564814812200 is 2218418465121.

121564814812200 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 6 + 481 + 48 + 122 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104618475 + ... + 105774074.

It is an arithmetic number, because the mean of its divisors is an integer number (2201232054375).

Almost surely, 2^{121564814812200} is an apocalyptic number.

121564814812200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121564814812200 is an abundant number, since it is smaller than the sum of its proper divisors (301071739627800).

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

121564814812200 is a wasteful number, since it uses less digits than its factorization.

121564814812200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210392681 (or 210392666 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 121564814812200 in words is "one hundred twenty-one trillion, five hundred sixty-four billion, eight hundred fourteen million, eight hundred twelve thousand, two hundred".