12952671720 has 256 divisors, whose sum is σ = 42759290880. Its totient is φ = 3128294400.

The previous prime is 12952671709. The next prime is 12952671793. The reversal of 12952671720 is 2717625921.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4019710 + ... + 4022930.

It is an arithmetic number, because the mean of its divisors is an integer number (167028480).

Almost surely, 2^12952671720 is an apocalyptic number.

12952671720 is a gapful number since it is divisible by the number (10) 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 12952671720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21379645440).

12952671720 is an abundant number, since it is smaller than the sum of its proper divisors (29806619160).

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

12952671720 is a wasteful number, since it uses less digits than its factorization.

12952671720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 12952671720 in words is "twelve billion, nine hundred fifty-two million, six hundred seventy-one thousand, seven hundred twenty".