121052800 has 192 divisors, whose sum is σ = 345290400. Its totient is φ = 41472000.

The previous prime is 121052797. The next prime is 121052807. The reversal of 121052800 is 8250121.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (121052807) 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 23 ways as a sum of consecutive naturals, for example, 668710 + ... + 668890.

Almost surely, 2^121052800 is an apocalyptic number.

121052800 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 121052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172645200).

121052800 is an abundant number, since it is smaller than the sum of its proper divisors (224237600).

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

121052800 is a wasteful number, since it uses less digits than its factorization.

121052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 121052800 is about 11002.3997382389. The cubic root of 121052800 is about 494.6806769530.

The spelling of 121052800 in words is "one hundred twenty-one million, fifty-two thousand, eight hundred".