12713237021772 has 288 divisors, whose sum is σ = 39855252003840. Its totient is φ = 3432565900800.

The previous prime is 12713237021701. The next prime is 12713237021801. The reversal of 12713237021772 is 27712073231721.

12713237021772 is a `hidden beast` number, since 1 + 271 + 3 + 2 + 370 + 2 + 1 + 7 + 7 + 2 = 666.

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, 109381233 + ... + 109497399.

It is an arithmetic number, because the mean of its divisors is an integer number (138386291680).

Almost surely, 2^{12713237021772} is an apocalyptic number.

12713237021772 is a gapful number since it is divisible by the number (12) 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 12713237021772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927626001920).

12713237021772 is an abundant number, since it is smaller than the sum of its proper divisors (27142014982068).

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

12713237021772 is a wasteful number, since it uses less digits than its factorization.

12713237021772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116626 (or 116599 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 12713237021772 in words is "twelve trillion, seven hundred thirteen billion, two hundred thirty-seven million, twenty-one thousand, seven hundred seventy-two".