12942476574720 has 1920 divisors, whose sum is σ = 54623878848000. Its totient is φ = 2557854351360.

The previous prime is 12942476574661. The next prime is 12942476574767. The reversal of 12942476574720 is 2747567424921.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193171292127 + ... + 193171292193.

It is an arithmetic number, because the mean of its divisors is an integer number (28449936900).

Almost surely, 2^{12942476574720} is an apocalyptic number.

12942476574720 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 12942476574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27311939424000).

12942476574720 is an abundant number, since it is smaller than the sum of its proper divisors (41681402273280).

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

12942476574720 is an frugal number, since it uses more digits than its factorization.

12942476574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 60.

The spelling of 12942476574720 in words is "twelve trillion, nine hundred forty-two billion, four hundred seventy-six million, five hundred seventy-four thousand, seven hundred twenty".