121056800 has 54 divisors (see below), whose sum is σ = 296291583. Its totient is φ = 48298240.

The previous prime is 121056791. The next prime is 121056833. The reversal of 121056800 is 8650121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 15460624 + 105596176 = 3932^2 + 10276^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7780.

It is a Duffinian number.

It is an unprimeable number.

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, 311006 + ... + 311394.

Almost surely, 2^121056800 is an apocalyptic number.

121056800 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 121056800

121056800 is an abundant number, since it is smaller than the sum of its proper divisors (175234783).

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

121056800 is an frugal number, since it uses more digits than its factorization.

121056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 121056800 is about 11002.5815152627. The cubic root of 121056800 is about 494.6861255422.

The spelling of 121056800 in words is "one hundred twenty-one million, fifty-six thousand, eight hundred".