121052400 has 120 divisors (see below), whose sum is σ = 443197824. Its totient is φ = 27667200.

The previous prime is 121052389. The next prime is 121052423. The reversal of 121052400 is 4250121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121052400.

It is a congruent number.

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, 1195 + ... + 15605.

Almost surely, 2^121052400 is an apocalyptic number.

121052400 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 121052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221598912).

121052400 is an abundant number, since it is smaller than the sum of its proper divisors (322145424).

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

121052400 is a wasteful number, since it uses less digits than its factorization.

121052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14439 (or 14428 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 121052400 is about 11002.3815603714. The cubic root of 121052400 is about 494.6801320875.

The spelling of 121052400 in words is "one hundred twenty-one million, fifty-two thousand, four hundred".