12960202752 has 408 divisors, whose sum is σ = 44383786304. Its totient is φ = 3567255552.

The previous prime is 12960202751. The next prime is 12960202763. The reversal of 12960202752 is 25720206921.

It is a happy number.

12960202752 is a `hidden beast` number, since 1 + 29 + 602 + 0 + 27 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12960202751) 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, 177536988 + ... + 177537060.

Almost surely, 2^12960202752 is an apocalyptic number.

12960202752 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 12960202752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22191893152).

12960202752 is an abundant number, since it is smaller than the sum of its proper divisors (31423583552).

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

12960202752 is an frugal number, since it uses more digits than its factorization.

12960202752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 128 counting only the distinct ones).

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

The spelling of 12960202752 in words is "twelve billion, nine hundred sixty million, two hundred two thousand, seven hundred fifty-two".