12238905600 has 270 divisors, whose sum is σ = 45254727210. Its totient is φ = 3263569920.

The previous prime is 12238905599. The next prime is 12238905631. The reversal of 12238905600 is 650983221.

12238905600 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 8 + 90 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 40144896 + 12198760704 = 6336^2 + 110448^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×12238905600² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 506596 + ... + 530204.

Almost surely, 2^12238905600 is an apocalyptic number.

12238905600 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 12238905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22627363605).

12238905600 is an abundant number, since it is smaller than the sum of its proper divisors (33015821610).

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

12238905600 is an equidigital number, since it uses as much as digits as its factorization.

12238905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23647 (or 23619 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12238905600 in words is "twelve billion, two hundred thirty-eight million, nine hundred five thousand, six hundred".