12257267742720 has 6912 divisors, whose sum is σ = 65088501004800. Its totient is φ = 2167107747840.

The previous prime is 12257267742703. The next prime is 12257267742803. The reversal of 12257267742720 is 2724776275221.

12257267742720 is a `hidden beast` number, since 1 + 2 + 2 + 572 + 6 + 7 + 7 + 42 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×12257267742720² (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 an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 331277506542 + ... + 331277506578.

It is an arithmetic number, because the mean of its divisors is an integer number (9416739150).

Almost surely, 2^{12257267742720} is an apocalyptic number.

12257267742720 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 12257267742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32544250502400).

12257267742720 is an abundant number, since it is smaller than the sum of its proper divisors (52831233262080).

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

12257267742720 is a wasteful number, since it uses less digits than its factorization.

12257267742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 54.

The spelling of 12257267742720 in words is "twelve trillion, two hundred fifty-seven billion, two hundred sixty-seven million, seven hundred forty-two thousand, seven hundred twenty".