121368624400 has 45 divisors (see below), whose sum is σ = 291604860741. Its totient is φ = 48544662720.

The previous prime is 121368624371. The next prime is 121368624409. The reversal of 121368624400 is 4426863121.

The square root of 121368624400 is 348380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43692704784 + 77675919616 = 209028^2 + 278704^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121368624400.

It is not an unprimeable number, because it can be changed into a prime (121368624409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6958891 + ... + 6976309.

Almost surely, 2^121368624400 is an apocalyptic number.

121368624400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121368624400 is the 348380-th square number.

It is an amenable number.

121368624400 is an abundant number, since it is smaller than the sum of its proper divisors (170236236341).

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

121368624400 is an frugal number, since it uses more digits than its factorization.

121368624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34856 (or 17426 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 121368624400 in words is "one hundred twenty-one billion, three hundred sixty-eight million, six hundred twenty-four thousand, four hundred".