12572240688 has 220 divisors, whose sum is σ = 41779529808. Its totient is φ = 3590179200.

The previous prime is 12572240641. The next prime is 12572240719. The reversal of 12572240688 is 88604227521.

12572240688 is a `hidden beast` number, since 12 + 572 + 2 + 4 + 0 + 68 + 8 = 666.

It is a super-2 number, since 2×12572240688² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 6612538 + ... + 6614438.

Almost surely, 2^12572240688 is an apocalyptic number.

12572240688 is a gapful number since it is divisible by the number (18) 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 12572240688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20889764904).

12572240688 is an abundant number, since it is smaller than the sum of its proper divisors (29207289120).

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

12572240688 is an frugal number, since it uses more digits than its factorization.

12572240688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12572240688 in words is "twelve billion, five hundred seventy-two million, two hundred forty thousand, six hundred eighty-eight".