12281922432 has 320 divisors, whose sum is σ = 39623744160. Its totient is φ = 3754045440.

The previous prime is 12281922409. The next prime is 12281922439. The reversal of 12281922432 is 23422918221.

It is a happy number.

12281922432 is a `hidden beast` number, since 1 + 228 + 192 + 243 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12281922439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39491557 + ... + 39491867.

Almost surely, 2^12281922432 is an apocalyptic number.

12281922432 is a gapful number since it is divisible by the number (12) 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 12281922432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19811872080).

12281922432 is an abundant number, since it is smaller than the sum of its proper divisors (27341821728).

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

12281922432 is a wasteful number, since it uses less digits than its factorization.

12281922432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 622 counting only the distinct ones).

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

The spelling of 12281922432 in words is "twelve billion, two hundred eighty-one million, nine hundred twenty-two thousand, four hundred thirty-two".