121508134732800 has 1320 divisors, whose sum is σ = 463168634548224. Its totient is φ = 31459849666560.

The previous prime is 121508134732769. The next prime is 121508134732807. The reversal of 121508134732800 is 8237431805121.

121508134732800 is a `hidden beast` number, since 1 + 2 + 1 + 508 + 1 + 34 + 7 + 32 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (121508134732807) 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 119 ways as a sum of consecutive naturals, for example, 12377313492 + ... + 12377323308.

Almost surely, 2^{121508134732800} is an apocalyptic number.

121508134732800 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 121508134732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231584317274112).

121508134732800 is an abundant number, since it is smaller than the sum of its proper divisors (341660499815424).

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

121508134732800 is a wasteful number, since it uses less digits than its factorization.

121508134732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033 (or 10001 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 121508134732800 in words is "one hundred twenty-one trillion, five hundred eight billion, one hundred thirty-four million, seven hundred thirty-two thousand, eight hundred".