12952084992 has 320 divisors, whose sum is σ = 44085178368. Its totient is φ = 3280896000.

The previous prime is 12952084991. The next prime is 12952085017. The reversal of 12952084992 is 29948025921.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12952084991) 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, 4847817 + ... + 4850487.

Almost surely, 2^12952084992 is an apocalyptic number.

12952084992 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 12952084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22042589184).

12952084992 is an abundant number, since it is smaller than the sum of its proper divisors (31133093376).

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

12952084992 is a wasteful number, since it uses less digits than its factorization.

12952084992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 12952084992 in words is "twelve billion, nine hundred fifty-two million, eighty-four thousand, nine hundred ninety-two".