12001113120100 has 144 divisors (see below), whose sum is σ = 29720402928720. Its totient is φ = 4174029619200.

The previous prime is 12001113120097. The next prime is 12001113120107. The reversal of 12001113120100 is 102131110021.

It is a happy number.

12001113120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 11752239847716 + 248873272384 = 3428154^2 + 498872^2 .

It is a super-2 number, since 2×12001113120100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12001113120107) 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, 2336397 + ... + 5427796.

It is an arithmetic number, because the mean of its divisors is an integer number (206391687005).

Almost surely, 2^{12001113120100} is an apocalyptic number.

12001113120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001113120100 is an abundant number, since it is smaller than the sum of its proper divisors (17719289808620).

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

12001113120100 is a wasteful number, since it uses less digits than its factorization.

12001113120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7764290 (or 7764283 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12001113120100 its reverse (102131110021), we get a palindrome (12103244230121).

The spelling of 12001113120100 in words is "twelve trillion, one billion, one hundred thirteen million, one hundred twenty thousand, one hundred".