12632444160000 has 480 divisors, whose sum is σ = 48096554425920. Its totient is φ = 2887409664000.

The previous prime is 12632444159999. The next prime is 12632444160001. The reversal of 12632444160000 is 6144423621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12632444159999) and next prime (12632444160001).

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (12632444160001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26645022 + ... + 27114978.

It is an arithmetic number, because the mean of its divisors is an integer number (100201155054).

Almost surely, 2^{12632444160000} is an apocalyptic number.

12632444160000 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 12632444160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24048277212960).

12632444160000 is an abundant number, since it is smaller than the sum of its proper divisors (35464110265920).

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

12632444160000 is an frugal number, since it uses more digits than its factorization.

12632444160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470009 (or 469974 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 12632444160000 its reverse (6144423621), we get a palindrome (12638588583621).

The spelling of 12632444160000 in words is "twelve trillion, six hundred thirty-two billion, four hundred forty-four million, one hundred sixty thousand".