12952247906304 has 624 divisors, whose sum is σ = 43792624512000. Its totient is φ = 3611814395904.

The previous prime is 12952247906261. The next prime is 12952247906309. The reversal of 12952247906304 is 40360974225921.

It is a happy number.

12952247906304 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 2 + 247 + 90 + 6 + 304 = 666.

It is a super-3 number, since 3×12952247906304³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12952247906309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2721629877 + ... + 2721634635.

It is an arithmetic number, because the mean of its divisors is an integer number (70180488000).

Almost surely, 2^{12952247906304} is an apocalyptic number.

12952247906304 is a gapful number since it is divisible by the number (14) 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 12952247906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21896312256000).

12952247906304 is an abundant number, since it is smaller than the sum of its proper divisors (30840376605696).

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

12952247906304 is a wasteful number, since it uses less digits than its factorization.

12952247906304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 12952247906304 in words is "twelve trillion, nine hundred fifty-two billion, two hundred forty-seven million, nine hundred six thousand, three hundred four".