12255199632 has 480 divisors, whose sum is σ = 40801138560. Its totient is φ = 3399598080.

The previous prime is 12255199591. The next prime is 12255199637. The reversal of 12255199632 is 23699155221.

12255199632 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 1 + 9 + 9 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (12255199637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114534523 + ... + 114534629.

It is an arithmetic number, because the mean of its divisors is an integer number (85002372).

Almost surely, 2^12255199632 is an apocalyptic number.

12255199632 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 12255199632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20400569280).

12255199632 is an abundant number, since it is smaller than the sum of its proper divisors (28545938928).

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

12255199632 is a wasteful number, since it uses less digits than its factorization.

12255199632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 12255199632 in words is "twelve billion, two hundred fifty-five million, one hundred ninety-nine thousand, six hundred thirty-two".