121267200 has 132 divisors (see below), whose sum is σ = 401048240. Its totient is φ = 32317440.

The previous prime is 121267199. The next prime is 121267213. The reversal of 121267200 is 2762121.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76011 + ... + 77589.

Almost surely, 2^121267200 is an apocalyptic number.

121267200 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 121267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200524120).

121267200 is an abundant number, since it is smaller than the sum of its proper divisors (279781040).

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

121267200 is a wasteful number, since it uses less digits than its factorization.

121267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 121267200 is about 11012.1387568446. The cubic root of 121267200 is about 494.9725522991.

The spelling of 121267200 in words is "one hundred twenty-one million, two hundred sixty-seven thousand, two hundred".