132121200 has 120 divisors (see below), whose sum is σ = 441721728. Its totient is φ = 33693440.

The previous prime is 132121169. The next prime is 132121201. The reversal of 132121200 is 2121231.

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

It is a super-2 number, since 2×132121200² = 34912022978880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121201) 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, 25207 + ... + 29993.

Almost surely, 2^132121200 is an apocalyptic number.

132121200 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 132121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220860864).

132121200 is an abundant number, since it is smaller than the sum of its proper divisors (309600528).

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

132121200 is a wasteful number, since it uses less digits than its factorization.

132121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132121200 is about 11494.3986358574. The cubic root of 132121200 is about 509.3201244408.

Adding to 132121200 its reverse (2121231), we get a palindrome (134242431).

The spelling of 132121200 in words is "one hundred thirty-two million, one hundred twenty-one thousand, two hundred".