12272657760 has 384 divisors, whose sum is σ = 47081502720. Its totient is φ = 2961100800.

The previous prime is 12272657743. The next prime is 12272657851. The reversal of 12272657760 is 6775627221.

12272657760 is a `hidden beast` number, since 1 + 2 + 2 + 72 + 6 + 577 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12877444 + ... + 12878396.

It is an arithmetic number, because the mean of its divisors is an integer number (122608080).

Almost surely, 2^12272657760 is an apocalyptic number.

12272657760 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 12272657760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23540751360).

12272657760 is an abundant number, since it is smaller than the sum of its proper divisors (34808844960).

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

12272657760 is a wasteful number, since it uses less digits than its factorization.

12272657760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 12272657760 in words is "twelve billion, two hundred seventy-two million, six hundred fifty-seven thousand, seven hundred sixty".