132024414312 has 96 divisors (see below), whose sum is σ = 409373714880. Its totient is φ = 37654179840.

The previous prime is 132024414307. The next prime is 132024414329. The reversal of 132024414312 is 213414420231.

132024414312 is a `hidden beast` number, since 1 + 3 + 202 + 441 + 4 + 3 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51112 + ... + 516392.

It is an arithmetic number, because the mean of its divisors is an integer number (4264309530).

Almost surely, 2^132024414312 is an apocalyptic number.

132024414312 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 132024414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204686857440).

132024414312 is an abundant number, since it is smaller than the sum of its proper divisors (277349300568).

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

132024414312 is a wasteful number, since it uses less digits than its factorization.

132024414312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465863 (or 465856 counting only the distinct ones).

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

Adding to 132024414312 its reverse (213414420231), we get a palindrome (345438834543).

The spelling of 132024414312 in words is "one hundred thirty-two billion, twenty-four million, four hundred fourteen thousand, three hundred twelve".