121399200 has 216 divisors, whose sum is σ = 461368908. Its totient is φ = 29859840.

The previous prime is 121399181. The next prime is 121399217. The reversal of 121399200 is 2993121.

It can be written as a sum of positive squares in 6 ways, for example, as 64064016 + 57335184 = 8004^2 + 7572^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92952 + ... + 94248.

Almost surely, 2^121399200 is an apocalyptic number.

121399200 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 121399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230684454).

121399200 is an abundant number, since it is smaller than the sum of its proper divisors (339969708).

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

121399200 is a wasteful number, since it uses less digits than its factorization.

121399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 121399200 is about 11018.1305129319. The cubic root of 121399200 is about 495.1520806049.

The spelling of 121399200 in words is "one hundred twenty-one million, three hundred ninety-nine thousand, two hundred".