32130345312 has 144 divisors (see below), whose sum is σ = 101573716608. Its totient is φ = 9567313920.

The previous prime is 32130345311. The next prime is 32130345383. The reversal of 32130345312 is 21354303123.

32130345312 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 0 + 345 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130345311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22353 + ... + 254480.

It is an arithmetic number, because the mean of its divisors is an integer number (705373032).

Almost surely, 2^32130345312 is an apocalyptic number.

32130345312 is a gapful number since it is divisible by the number (32) 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 32130345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50786858304).

32130345312 is an abundant number, since it is smaller than the sum of its proper divisors (69443371296).

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

32130345312 is a wasteful number, since it uses less digits than its factorization.

32130345312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276893 (or 276882 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 32130345312 its reverse (21354303123), we get a palindrome (53484648435).

The spelling of 32130345312 in words is "thirty-two billion, one hundred thirty million, three hundred forty-five thousand, three hundred twelve".