12701970908928 has 432 divisors, whose sum is σ = 43695561401856. Its totient is φ = 3469674700800.

The previous prime is 12701970908881. The next prime is 12701970908947. The reversal of 12701970908928 is 82980907910721.

12701970908928 is a `hidden beast` number, since 1 + 270 + 197 + 0 + 90 + 8 + 92 + 8 = 666.

It is a super-2 number, since 2×12701970908928² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 903983503 + ... + 903997553.

Almost surely, 2^{12701970908928} is an apocalyptic number.

12701970908928 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 12701970908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21847780700928).

12701970908928 is an abundant number, since it is smaller than the sum of its proper divisors (30993590492928).

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

12701970908928 is a wasteful number, since it uses less digits than its factorization.

12701970908928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16540 (or 16523 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 63.

The spelling of 12701970908928 in words is "twelve trillion, seven hundred one billion, nine hundred seventy million, nine hundred eight thousand, nine hundred twenty-eight".