132412512 has 48 divisors (see below), whose sum is σ = 350118720. Its totient is φ = 43815552.

The previous prime is 132412487. The next prime is 132412537. The reversal of 132412512 is 215214231.

It is an interprime number because it is at equal distance from previous prime (132412487) and next prime (132412537).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8383 + ... + 18305.

It is an arithmetic number, because the mean of its divisors is an integer number (7294140).

Almost surely, 2^132412512 is an apocalyptic number.

132412512 is a gapful number since it is divisible by the number (12) 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 132412512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175059360).

132412512 is an abundant number, since it is smaller than the sum of its proper divisors (217706208).

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

132412512 is a wasteful number, since it uses less digits than its factorization.

132412512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10075 (or 10067 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 132412512 is about 11507.0635698253. The cubic root of 132412512 is about 509.6941803593.

Adding to 132412512 its reverse (215214231), we get a palindrome (347626743).

It can be divided in two parts, 13241 and 2512, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 132412512 in words is "one hundred thirty-two million, four hundred twelve thousand, five hundred twelve".