12012113022100 has 72 divisors (see below), whose sum is σ = 27035837517528. Its totient is φ = 4628697408000.

The previous prime is 12012113022061. The next prime is 12012113022121. The reversal of 12012113022100 is 122031121021.

It can be written as a sum of positive squares in 12 ways, for example, as 80767366416 + 11931345655684 = 284196^2 + 3454178^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15698167 + ... + 16445566.

It is an arithmetic number, because the mean of its divisors is an integer number (375497743299).

Almost surely, 2^{12012113022100} is an apocalyptic number.

12012113022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012113022100 is an abundant number, since it is smaller than the sum of its proper divisors (15023724495428).

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

12012113022100 is a wasteful number, since it uses less digits than its factorization.

12012113022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32143885 (or 32143878 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12012113022100 its reverse (122031121021), we get a palindrome (12134144143121).

The spelling of 12012113022100 in words is "twelve trillion, twelve billion, one hundred thirteen million, twenty-two thousand, one hundred".