12257719872 has 112 divisors (see below), whose sum is σ = 32678705280. Its totient is φ = 4054966272.

The previous prime is 12257719819. The next prime is 12257719921. The reversal of 12257719872 is 27891775221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25169613 + ... + 25170099.

Almost surely, 2^12257719872 is an apocalyptic number.

12257719872 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 12257719872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339352640).

12257719872 is an abundant number, since it is smaller than the sum of its proper divisors (20420985408).

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

12257719872 is a wasteful number, since it uses less digits than its factorization.

12257719872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1218 counting only the distinct ones).

The product of its digits is 987840, while the sum is 51.

The spelling of 12257719872 in words is "twelve billion, two hundred fifty-seven million, seven hundred nineteen thousand, eight hundred seventy-two".