12886228992 has 480 divisors, whose sum is σ = 43921411072. Its totient is φ = 3269984256.

The previous prime is 12886228981. The next prime is 12886228997. The reversal of 12886228992 is 29982268821.

It is a super-2 number, since 2×12886228992² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12886228997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192331743 + ... + 192331809.

Almost surely, 2^12886228992 is an apocalyptic number.

12886228992 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 12886228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21960705536).

12886228992 is an abundant number, since it is smaller than the sum of its proper divisors (31035182080).

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

12886228992 is an equidigital number, since it uses as much as digits as its factorization.

12886228992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 57.

The spelling of 12886228992 in words is "twelve billion, eight hundred eighty-six million, two hundred twenty-eight thousand, nine hundred ninety-two".