12013001252000 has 192 divisors, whose sum is σ = 33736245693696. Its totient is φ = 4118286873600.

The previous prime is 12013001251997. The next prime is 12013001252033. The reversal of 12013001252000 is 25210031021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12013001252000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338978282 + ... + 339013718.

It is an arithmetic number, because the mean of its divisors is an integer number (175709612988).

Almost surely, 2^{12013001252000} is an apocalyptic number.

12013001252000 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 12013001252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16868122846848).

12013001252000 is an abundant number, since it is smaller than the sum of its proper divisors (21723244441696).

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

12013001252000 is a wasteful number, since it uses less digits than its factorization.

12013001252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47576 (or 47558 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 12013001252000 its reverse (25210031021), we get a palindrome (12038211283021).

The spelling of 12013001252000 in words is "twelve trillion, thirteen billion, one million, two hundred fifty-two thousand".