12032112101200 has 60 divisors (see below), whose sum is σ = 29231948840220. Its totient is φ = 4758767918080.

The previous prime is 12032112101197. The next prime is 12032112101231. The reversal of 12032112101200 is 210121123021.

It can be written as a sum of positive squares in 6 ways, for example, as 1607195133504 + 10424916967696 = 1267752^2 + 3228764^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168954739 + ... + 169025938.

It is an arithmetic number, because the mean of its divisors is an integer number (487199147337).

Almost surely, 2^{12032112101200} is an apocalyptic number.

12032112101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032112101200 is an abundant number, since it is smaller than the sum of its proper divisors (17199836739020).

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

12032112101200 is a wasteful number, since it uses less digits than its factorization.

12032112101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337980784 (or 337980773 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12032112101200 its reverse (210121123021), we get a palindrome (12242233224221).

The spelling of 12032112101200 in words is "twelve trillion, thirty-two billion, one hundred twelve million, one hundred one thousand, two hundred".