12974720035200 has 4608 divisors, whose sum is σ = 61553861729280. Its totient is φ = 2381335756800.

The previous prime is 12974720035181. The next prime is 12974720035219. The reversal of 12974720035200 is 253002747921.

It is an interprime number because it is at equal distance from previous prime (12974720035181) and next prime (12974720035219).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 244806038374 + ... + 244806038426.

It is an arithmetic number, because the mean of its divisors is an integer number (13358042910).

Almost surely, 2^{12974720035200} is an apocalyptic number.

12974720035200 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 12974720035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30776930864640).

12974720035200 is an abundant number, since it is smaller than the sum of its proper divisors (48579141694080).

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

12974720035200 is a wasteful number, since it uses less digits than its factorization.

12974720035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 12974720035200 in words is "twelve trillion, nine hundred seventy-four billion, seven hundred twenty million, thirty-five thousand, two hundred".