12390253344 has 384 divisors, whose sum is σ = 44925995520. Its totient is φ = 3240787968.

The previous prime is 12390253301. The next prime is 12390253391. The reversal of 12390253344 is 44335209321.

12390253344 is a `hidden beast` number, since 12 + 390 + 253 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12390253299 and 12390253308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3802564 + ... + 3805820.

It is an arithmetic number, because the mean of its divisors is an integer number (116994780).

Almost surely, 2^12390253344 is an apocalyptic number.

12390253344 is a gapful number since it is divisible by the number (14) 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 12390253344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22462997760).

12390253344 is an abundant number, since it is smaller than the sum of its proper divisors (32535742176).

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

12390253344 is a wasteful number, since it uses less digits than its factorization.

12390253344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 12390253344 in words is "twelve billion, three hundred ninety million, two hundred fifty-three thousand, three hundred forty-four".