132120012013200 has 360 divisors, whose sum is σ = 503608033481280. Its totient is φ = 31926483072000.

The previous prime is 132120012013139. The next prime is 132120012013201. The reversal of 132120012013200 is 2310210021231.

132120012013200 is a `hidden beast` number, since 1 + 3 + 21 + 200 + 120 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×132120012013200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132120012013201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40417651 + ... + 43564050.

Almost surely, 2^{132120012013200} is an apocalyptic number.

132120012013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132120012013200 is an abundant number, since it is smaller than the sum of its proper divisors (371488021468080).

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

132120012013200 is a wasteful number, since it uses less digits than its factorization.

132120012013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83981767 (or 83981753 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132120012013200 its reverse (2310210021231), we get a palindrome (134430222034431).

The spelling of 132120012013200 in words is "one hundred thirty-two trillion, one hundred twenty billion, twelve million, thirteen thousand, two hundred".