12295281024 has 384 divisors, whose sum is σ = 39754434720. Its totient is φ = 3622993920.

The previous prime is 12295280999. The next prime is 12295281029. The reversal of 12295281024 is 42018259221.

12295281024 is a `hidden beast` number, since 1 + 2 + 29 + 528 + 102 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 12295281024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12295281029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39281892 + ... + 39282204.

Almost surely, 2^12295281024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12295281024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19877217360).

12295281024 is an abundant number, since it is smaller than the sum of its proper divisors (27459153696).

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

12295281024 is a wasteful number, since it uses less digits than its factorization.

12295281024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12295281024 in words is "twelve billion, two hundred ninety-five million, two hundred eighty-one thousand, twenty-four".