12952801296 has 180 divisors, whose sum is σ = 40511399292. Its totient is φ = 3849486336.

The previous prime is 12952801271. The next prime is 12952801327. The reversal of 12952801296 is 69210825921.

It is a happy number.

12952801296 is a `hidden beast` number, since 1 + 29 + 528 + 0 + 12 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11977113600 + 975687696 = 109440^2 + 31236^2 .

It is a super-2 number, since 2×12952801296² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 876400 + ... + 891056.

Almost surely, 2^12952801296 is an apocalyptic number.

12952801296 is a gapful number since it is divisible by the number (16) 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 12952801296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255699646).

12952801296 is an abundant number, since it is smaller than the sum of its proper divisors (27558597996).

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

12952801296 is a wasteful number, since it uses less digits than its factorization.

12952801296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14726 (or 14698 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12952801296 in words is "twelve billion, nine hundred fifty-two million, eight hundred one thousand, two hundred ninety-six".