3212732805120 has 312 divisors, whose sum is σ = 11141558219376. Its totient is φ = 856310022144.

The previous prime is 3212732805109. The next prime is 3212732805127. The reversal of 3212732805120 is 215082372123.

3212732805120 is a `hidden beast` number, since 32 + 1 + 2 + 7 + 32 + 80 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3212732805127) 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, 629081607 + ... + 629086713.

It is an arithmetic number, because the mean of its divisors is an integer number (35710122498).

Almost surely, 2^{3212732805120} is an apocalyptic number.

3212732805120 is a gapful number since it is divisible by the number (30) 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 3212732805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570779109688).

3212732805120 is an abundant number, since it is smaller than the sum of its proper divisors (7928825414256).

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

3212732805120 is a wasteful number, since it uses less digits than its factorization.

3212732805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8555 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 3212732805120 in words is "three trillion, two hundred twelve billion, seven hundred thirty-two million, eight hundred five thousand, one hundred twenty".