12601677425904 has 160 divisors (see below), whose sum is σ = 41399904522240. Its totient is φ = 3595160395008.

The previous prime is 12601677425893. The next prime is 12601677425941. The reversal of 12601677425904 is 40952477610621.

12601677425904 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 1 + 6 + 7 + 7 + 42 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030464 + ... + 5124959.

It is an arithmetic number, because the mean of its divisors is an integer number (258749403264).

Almost surely, 2^{12601677425904} is an apocalyptic number.

12601677425904 is a gapful number since it is divisible by the number (14) 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 12601677425904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20699952261120).

12601677425904 is an abundant number, since it is smaller than the sum of its proper divisors (28798227096336).

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

12601677425904 is a wasteful number, since it uses less digits than its factorization.

12601677425904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156124 (or 6156112 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 12601677425904 in words is "twelve trillion, six hundred one billion, six hundred seventy-seven million, four hundred twenty-five thousand, nine hundred four".