12275919360 has 400 divisors, whose sum is σ = 44838163656. Its totient is φ = 3208937472.

The previous prime is 12275919301. The next prime is 12275919377. The reversal of 12275919360 is 6391957221.

It is a happy number.

12275919360 is a `hidden beast` number, since 1 + 2 + 27 + 591 + 9 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7945226496 + 4330692864 = 89136^2 + 65808^2 .

It is a super-2 number, since 2×12275919360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10989522 + ... + 10990638.

Almost surely, 2^12275919360 is an apocalyptic number.

12275919360 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 12275919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22419081828).

12275919360 is an abundant number, since it is smaller than the sum of its proper divisors (32562244296).

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

12275919360 is an equidigital number, since it uses as much as digits as its factorization.

12275919360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 12275919360 in words is "twelve billion, two hundred seventy-five million, nine hundred nineteen thousand, three hundred sixty".