12282428160 has 432 divisors, whose sum is σ = 44345054208. Its totient is φ = 3135283200.

The previous prime is 12282428113. The next prime is 12282428167. The reversal of 12282428160 is 6182428221.

12282428160 is a `hidden beast` number, since 1 + 228 + 2 + 428 + 1 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12282428167) 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, 58210455 + ... + 58210665.

Almost surely, 2^12282428160 is an apocalyptic number.

12282428160 is a gapful number since it is divisible by the number (10) 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 12282428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22172527104).

12282428160 is an abundant number, since it is smaller than the sum of its proper divisors (32062626048).

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

12282428160 is a wasteful number, since it uses less digits than its factorization.

12282428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12282428160 in words is "twelve billion, two hundred eighty-two million, four hundred twenty-eight thousand, one hundred sixty".