132121120 has 48 divisors (see below), whose sum is σ = 317276568. Its totient is φ = 51978240.

The previous prime is 132121109. The next prime is 132121159. The reversal of 132121120 is 21121231.

It can be written as a sum of positive squares in 4 ways, for example, as 107081104 + 25040016 = 10348^2 + 5004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132121120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2992 + ... + 16528.

Almost surely, 2^132121120 is an apocalyptic number.

132121120 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 132121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158638284).

132121120 is an abundant number, since it is smaller than the sum of its proper divisors (185155448).

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

132121120 is a wasteful number, since it uses less digits than its factorization.

132121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13613 (or 13605 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 132121120 is about 11494.3951559010. The cubic root of 132121120 is about 509.3200216422.

Adding to 132121120 its reverse (21121231), we get a palindrome (153242351).

It can be divided in two parts, 1321211 and 20, that added together give a palindrome (1321231).

The spelling of 132121120 in words is "one hundred thirty-two million, one hundred twenty-one thousand, one hundred twenty".