12000201212100 has 72 divisors (see below), whose sum is σ = 34721297382240. Its totient is φ = 3199987738880.

The previous prime is 12000201212057. The next prime is 12000201212149. The reversal of 12000201212100 is 121210200021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15154816 + ... + 15926984.

It is an arithmetic number, because the mean of its divisors is an integer number (482240241420).

Almost surely, 2^{12000201212100} is an apocalyptic number.

12000201212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000201212100 is an abundant number, since it is smaller than the sum of its proper divisors (22721096170140).

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

12000201212100 is a wasteful number, since it uses less digits than its factorization.

12000201212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823989 (or 823982 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000201212100 its reverse (121210200021), we get a palindrome (12121411412121).

The spelling of 12000201212100 in words is "twelve trillion, two hundred one million, two hundred twelve thousand, one hundred".