132000120300312 has 256 divisors, whose sum is σ = 421069568832000. Its totient is φ = 37893281587200.

The previous prime is 132000120300241. The next prime is 132000120300319. The reversal of 132000120300312 is 213003021000231.

132000120300312 is a `hidden beast` number, since 1 + 3 + 200 + 0 + 120 + 30 + 0 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132000120300319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1715117512 + ... + 1715194472.

It is an arithmetic number, because the mean of its divisors is an integer number (1644803003250).

Almost surely, 2^{132000120300312} is an apocalyptic number.

132000120300312 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 132000120300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210534784416000).

132000120300312 is an abundant number, since it is smaller than the sum of its proper divisors (289069448531688).

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

132000120300312 is a wasteful number, since it uses less digits than its factorization.

132000120300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114999 (or 114989 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132000120300312 its reverse (213003021000231), we get a palindrome (345003141300543).

The spelling of 132000120300312 in words is "one hundred thirty-two trillion, one hundred twenty million, three hundred thousand, three hundred twelve".