12257823690 has 128 divisors (see below), whose sum is σ = 37389565440. Its totient is φ = 2799360000.

The previous prime is 12257823679. The next prime is 12257823713. The reversal of 12257823690 is 9632875221.

12257823690 is a `hidden beast` number, since 12 + 2 + 578 + 2 + 3 + 69 + 0 = 666.

It is a super-2 number, since 2×12257823690² (a number of 21 digits) contains 22 as substring.

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

It is a Curzon 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, 3061690 + ... + 3065690.

It is an arithmetic number, because the mean of its divisors is an integer number (292105980).

Almost surely, 2^12257823690 is an apocalyptic number.

12257823690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12257823690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18694782720).

12257823690 is an abundant number, since it is smaller than the sum of its proper divisors (25131741750).

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

12257823690 is a wasteful number, since it uses less digits than its factorization.

12257823690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12257823690 in words is "twelve billion, two hundred fifty-seven million, eight hundred twenty-three thousand, six hundred ninety".