12013122330000 has 300 divisors, whose sum is σ = 45830866340688. Its totient is φ = 2912271840000.

The previous prime is 12013122329981. The next prime is 12013122330107. The reversal of 12013122330000 is 3322131021.

12013122330000 is a `hidden beast` number, since 1 + 20 + 1 + 312 + 2 + 330 + 0 + 0 + 0 = 666.

12013122330000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5077234 + ... + 7057233.

Almost surely, 2^{12013122330000} is an apocalyptic number.

12013122330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013122330000 is an abundant number, since it is smaller than the sum of its proper divisors (33817744010688).

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

12013122330000 is a wasteful number, since it uses less digits than its factorization.

12013122330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12134512 (or 12134488 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12013122330000 its reverse (3322131021), we get a palindrome (12016444461021).

The spelling of 12013122330000 in words is "twelve trillion, thirteen billion, one hundred twenty-two million, three hundred thirty thousand".