12275832192 has 384 divisors, whose sum is σ = 38157987840. Its totient is φ = 3474358272.

The previous prime is 12275832161. The next prime is 12275832221. The reversal of 12275832192 is 29123857221.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12275832192² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96660033 + ... + 96660159.

It is an arithmetic number, because the mean of its divisors is an integer number (99369760).

Almost surely, 2^12275832192 is an apocalyptic number.

12275832192 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 12275832192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19078993920).

12275832192 is an abundant number, since it is smaller than the sum of its proper divisors (25882155648).

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

12275832192 is a wasteful number, since it uses less digits than its factorization.

12275832192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 229 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The spelling of 12275832192 in words is "twelve billion, two hundred seventy-five million, eight hundred thirty-two thousand, one hundred ninety-two".