121553200 has 60 divisors (see below), whose sum is σ = 293527840. Its totient is φ = 48372480.

The previous prime is 121553191. The next prime is 121553219. The reversal of 121553200 is 2355121.

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 11 ways as a sum of consecutive naturals, for example, 90937 + ... + 92263.

Almost surely, 2^121553200 is an apocalyptic number.

121553200 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 121553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146763920).

121553200 is an abundant number, since it is smaller than the sum of its proper divisors (171974640).

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

121553200 is a wasteful number, since it uses less digits than its factorization.

121553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 121553200 is about 11025.1167794269. The cubic root of 121553200 is about 495.3613658928.

The spelling of 121553200 in words is "one hundred twenty-one million, five hundred fifty-three thousand, two hundred".