12295838880 has 864 divisors, whose sum is σ = 50620371984. Its totient is φ = 2794881024.

The previous prime is 12295838851. The next prime is 12295838899. The reversal of 12295838880 is 8883859221.

12295838880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6097111056 + 6198727824 = 78084^2 + 78732^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 231996934 + ... + 231996986.

Almost surely, 2^12295838880 is an apocalyptic number.

12295838880 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 12295838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310185992).

12295838880 is an abundant number, since it is smaller than the sum of its proper divisors (38324533104).

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

12295838880 is an equidigital number, since it uses as much as digits as its factorization.

12295838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 12295838880 in words is "twelve billion, two hundred ninety-five million, eight hundred thirty-eight thousand, eight hundred eighty".