12042512100 has 108 divisors (see below), whose sum is σ = 38766870324. Its totient is φ = 3124535040.

The previous prime is 12042512099. The next prime is 12042512171. The reversal of 12042512100 is 121524021.

12042512100 is a `hidden beast` number, since 1 + 204 + 251 + 210 + 0 = 666.

12042512100 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 6 ways, for example, as 3594816 + 12038917284 = 1896^2 + 109722^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147519 + ... + 214118.

It is an arithmetic number, because the mean of its divisors is an integer number (358952503).

Almost surely, 2^12042512100 is an apocalyptic number.

12042512100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042512100 is an abundant number, since it is smaller than the sum of its proper divisors (26724358224).

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

12042512100 is a wasteful number, since it uses less digits than its factorization.

12042512100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361694 (or 361684 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 12042512100 in words is "twelve billion, forty-two million, five hundred twelve thousand, one hundred".