12412893024 has 288 divisors, whose sum is σ = 42162591744. Its totient is φ = 3389368320.

The previous prime is 12412893019. The next prime is 12412893109. The reversal of 12412893024 is 42039821421.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12412893024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5185972 + ... + 5188364.

It is an arithmetic number, because the mean of its divisors is an integer number (146397888).

Almost surely, 2^12412893024 is an apocalyptic number.

12412893024 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 12412893024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081295872).

12412893024 is an abundant number, since it is smaller than the sum of its proper divisors (29749698720).

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

12412893024 is a wasteful number, since it uses less digits than its factorization.

12412893024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12412893024 in words is "twelve billion, four hundred twelve million, eight hundred ninety-three thousand, twenty-four".