12633006120000 has 1120 divisors, whose sum is σ = 49029064077312. Its totient is φ = 2809755648000.

The previous prime is 12633006119989. The next prime is 12633006120011. The reversal of 12633006120000 is 2160033621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12633006119989) and next prime (12633006120011).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13256039524 + ... + 13256040476.

Almost surely, 2^{12633006120000} is an apocalyptic number.

12633006120000 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 12633006120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24514532038656).

12633006120000 is an abundant number, since it is smaller than the sum of its proper divisors (36396057957312).

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

12633006120000 is an equidigital number, since it uses as much as digits as its factorization.

12633006120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12633006120000 its reverse (2160033621), we get a palindrome (12635166153621).

The spelling of 12633006120000 in words is "twelve trillion, six hundred thirty-three billion, six million, one hundred twenty thousand".