12746700933120 has 1536 divisors, whose sum is σ = 59466161664000. Its totient is φ = 2509182074880.

The previous prime is 12746700933079. The next prime is 12746700933133. The reversal of 12746700933120 is 2133900764721.

12746700933120 is a `hidden beast` number, since 1 + 274 + 67 + 0 + 0 + 9 + 3 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 404474484 + ... + 404505996.

It is an arithmetic number, because the mean of its divisors is an integer number (38714949000).

Almost surely, 2^{12746700933120} is an apocalyptic number.

12746700933120 is a gapful number since it is divisible by the number (10) 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 12746700933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29733080832000).

12746700933120 is an abundant number, since it is smaller than the sum of its proper divisors (46719460730880).

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

12746700933120 is a wasteful number, since it uses less digits than its factorization.

12746700933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31586 (or 31560 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 12746700933120 in words is "twelve trillion, seven hundred forty-six billion, seven hundred million, nine hundred thirty-three thousand, one hundred twenty".