121357200 has 120 divisors (see below), whose sum is σ = 405741888. Its totient is φ = 30947840.

The previous prime is 121357183. The next prime is 121357207. The reversal of 121357200 is 2753121.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (121357207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25402 + ... + 29798.

Almost surely, 2^121357200 is an apocalyptic number.

121357200 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 121357200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202870944).

121357200 is an abundant number, since it is smaller than the sum of its proper divisors (284384688).

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

121357200 is a wasteful number, since it uses less digits than its factorization.

121357200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 121357200 is about 11016.2243985859. The cubic root of 121357200 is about 495.0949720843.

The spelling of 121357200 in words is "one hundred twenty-one million, three hundred fifty-seven thousand, two hundred".