121213104122400 has 144 divisors (see below), whose sum is σ = 394779532492800. Its totient is φ = 32304579650560.

The previous prime is 121213104122381. The next prime is 121213104122413. The reversal of 121213104122400 is 4221401312121.

It is a super-2 number, since 2×121213104122400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10674720 + ... + 18877919.

It is an arithmetic number, because the mean of its divisors is an integer number (2741524531200).

Almost surely, 2^{121213104122400} is an apocalyptic number.

121213104122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121213104122400 is an abundant number, since it is smaller than the sum of its proper divisors (273566428370400).

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

121213104122400 is a wasteful number, since it uses less digits than its factorization.

121213104122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29554371 (or 29554358 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 121213104122400 its reverse (4221401312121), we get a palindrome (125434505434521).

The spelling of 121213104122400 in words is "one hundred twenty-one trillion, two hundred thirteen billion, one hundred four million, one hundred twenty-two thousand, four hundred".