12132300312 has 128 divisors (see below), whose sum is σ = 36801216000. Its totient is φ = 3672789120.

The previous prime is 12132300311. The next prime is 12132300329. The reversal of 12132300312 is 21300323121.

12132300312 is a `hidden beast` number, since 1 + 21 + 32 + 300 + 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 (12132300311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3260389 + ... + 3264107.

It is an arithmetic number, because the mean of its divisors is an integer number (287509500).

Almost surely, 2^12132300312 is an apocalyptic number.

12132300312 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 12132300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400608000).

12132300312 is an abundant number, since it is smaller than the sum of its proper divisors (24668915688).

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

12132300312 is a wasteful number, since it uses less digits than its factorization.

12132300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5108 counting only the distinct ones).

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

Adding to 12132300312 its reverse (21300323121), we get a palindrome (33432623433).

The spelling of 12132300312 in words is "twelve billion, one hundred thirty-two million, three hundred thousand, three hundred twelve".