12507213888 has 392 divisors, whose sum is σ = 42466171608. Its totient is φ = 3619012608.

The previous prime is 12507213863. The next prime is 12507213889. The reversal of 12507213888 is 88831270521.

12507213888 is a `hidden beast` number, since 1 + 2 + 507 + 2 + 138 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36578304 + 12470635584 = 6048^2 + 111672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12507213889) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10310370 + ... + 10311582.

Almost surely, 2^12507213888 is an apocalyptic number.

12507213888 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 12507213888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21233085804).

12507213888 is an abundant number, since it is smaller than the sum of its proper divisors (29958957720).

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

12507213888 is a wasteful number, since it uses less digits than its factorization.

12507213888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 12507213888 in words is "twelve billion, five hundred seven million, two hundred thirteen thousand, eight hundred eighty-eight".