132004222401312 has 72 divisors (see below), whose sum is σ = 375388449538284. Its totient is φ = 44001238431744.

The previous prime is 132004222401287. The next prime is 132004222401347. The reversal of 132004222401312 is 213104222400231.

132004222401312 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 0 + 4 + 222 + 401 + 31 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131685814997136 + 318407404176 = 11475444^2 + 564276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×132004222401312² (a number of 29 digits) contains 22 as substring.

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, 90745188 + ... + 92188380.

Almost surely, 2^{132004222401312} is an apocalyptic number.

132004222401312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132004222401312 is an abundant number, since it is smaller than the sum of its proper divisors (243384227136972).

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

132004222401312 is a wasteful number, since it uses less digits than its factorization.

132004222401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760802 (or 1760791 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 132004222401312 its reverse (213104222400231), we get a palindrome (345108444801543).

The spelling of 132004222401312 in words is "one hundred thirty-two trillion, four billion, two hundred twenty-two million, four hundred one thousand, three hundred twelve".