121172800 has 168 divisors, whose sum is σ = 352755200. Its totient is φ = 40089600.

The previous prime is 121172791. The next prime is 121172813. The reversal of 121172800 is 8271121.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 347026 + ... + 347374.

Almost surely, 2^121172800 is an apocalyptic number.

121172800 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 121172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176377600).

121172800 is an abundant number, since it is smaller than the sum of its proper divisors (231582400).

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

121172800 is a wasteful number, since it uses less digits than its factorization.

121172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 121172800 is about 11007.8517431877. The cubic root of 121172800 is about 494.8440824447.

The spelling of 121172800 in words is "one hundred twenty-one million, one hundred seventy-two thousand, eight hundred".