3215120947200 has 1296 divisors, whose sum is σ = 12682545843240. Its totient is φ = 805499043840.

The previous prime is 3215120947117. The next prime is 3215120947231. The reversal of 3215120947200 is 27490215123.

3215120947200 is a `hidden beast` number, since 32 + 1 + 512 + 0 + 94 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5710694119 + ... + 5710694681.

Almost surely, 2^{3215120947200} is an apocalyptic number.

3215120947200 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 3215120947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341272921620).

3215120947200 is an abundant number, since it is smaller than the sum of its proper divisors (9467424896040).

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

3215120947200 is an frugal number, since it uses more digits than its factorization.

3215120947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 3215120947200 in words is "three trillion, two hundred fifteen billion, one hundred twenty million, nine hundred forty-seven thousand, two hundred".