12700601949168 has 800 divisors, whose sum is σ = 45675998299008. Its totient is φ = 3323997388800.

The previous prime is 12700601949163. The next prime is 12700601949169. The reversal of 12700601949168 is 86194910600721.

12700601949168 is a `hidden beast` number, since 1 + 27 + 0 + 0 + 60 + 19 + 491 + 68 = 666.

It is a super-2 number, since 2×12700601949168² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12700601949163) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2914985646 + ... + 2914990002.

Almost surely, 2^{12700601949168} is an apocalyptic number.

12700601949168 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 12700601949168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837999149504).

12700601949168 is an abundant number, since it is smaller than the sum of its proper divisors (32975396349840).

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

12700601949168 is a wasteful number, since it uses less digits than its factorization.

12700601949168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 12700601949168 in words is "twelve trillion, seven hundred billion, six hundred one million, nine hundred forty-nine thousand, one hundred sixty-eight".