12970806048 has 90 divisors (see below), whose sum is σ = 38163840561. Its totient is φ = 4321669248.

The previous prime is 12970806041. The next prime is 12970806053. The reversal of 12970806048 is 84060807921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11718495504 + 1252310544 = 108252^2 + 35388^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=80532.

It is a super-3 number, since 3×12970806048³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12970805994 and 12970806012.

It is not an unprimeable number, because it can be changed into a prime (12970806041) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5797186 + ... + 5799422.

Almost surely, 2^12970806048 is an apocalyptic number.

12970806048 is a gapful number since it is divisible by the number (18) 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 12970806048

12970806048 is an abundant number, since it is smaller than the sum of its proper divisors (25193034513).

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

12970806048 is an frugal number, since it uses more digits than its factorization.

12970806048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12970806048 in words is "twelve billion, nine hundred seventy million, eight hundred six thousand, forty-eight".