12632841312 has 288 divisors, whose sum is σ = 41733855072. Its totient is φ = 3316432896.

The previous prime is 12632841233. The next prime is 12632841317. The reversal of 12632841312 is 21314823621.

It is a super-2 number, since 2×12632841312² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12632841317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20607918 + ... + 20608530.

It is an arithmetic number, because the mean of its divisors is an integer number (144909219).

Almost surely, 2^12632841312 is an apocalyptic number.

12632841312 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 12632841312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20866927536).

12632841312 is an abundant number, since it is smaller than the sum of its proper divisors (29101013760).

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

12632841312 is a wasteful number, since it uses less digits than its factorization.

12632841312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 975 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The spelling of 12632841312 in words is "twelve billion, six hundred thirty-two million, eight hundred forty-one thousand, three hundred twelve".