121370813798400 has 864 divisors, whose sum is σ = 463867705566720. Its totient is φ = 30221590855680.

The previous prime is 121370813798393. The next prime is 121370813798413. The reversal of 121370813798400 is 4897318073121.

121370813798400 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 70 + 81 + 3 + 7 + 98 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 994806202 + ... + 994928198.

It is an arithmetic number, because the mean of its divisors is an integer number (536883918480).

Almost surely, 2^{121370813798400} is an apocalyptic number.

121370813798400 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 121370813798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231933852783360).

121370813798400 is an abundant number, since it is smaller than the sum of its proper divisors (342496891768320).

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

121370813798400 is a wasteful number, since it uses less digits than its factorization.

121370813798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122179 (or 122151 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 121370813798400 in words is "one hundred twenty-one trillion, three hundred seventy billion, eight hundred thirteen million, seven hundred ninety-eight thousand, four hundred".