12255632640 has 144 divisors (see below), whose sum is σ = 43490596800. Its totient is φ = 3268159488.

The previous prime is 12255632621. The next prime is 12255632647. The reversal of 12255632640 is 4623655221.

12255632640 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 6 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 12255632595 and 12255632604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12255632647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142750 + ... + 211869.

Almost surely, 2^12255632640 is an apocalyptic number.

12255632640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12255632640 is an abundant number, since it is smaller than the sum of its proper divisors (31234964160).

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

12255632640 is an equidigital number, since it uses as much as digits as its factorization.

12255632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354649 (or 354629 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 12255632640 in words is "twelve billion, two hundred fifty-five million, six hundred thirty-two thousand, six hundred forty".