2012211100120 has 64 divisors (see below), whose sum is σ = 4875899555520. Its totient is φ = 742946287104.

The previous prime is 2012211100117. The next prime is 2012211100153. The reversal of 2012211100120 is 210011122102.

It is a super-2 number, since 2×2012211100120² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2012211100120.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 29800237 + ... + 29867683.

It is an arithmetic number, because the mean of its divisors is an integer number (76185930555).

Almost surely, 2^{2012211100120} is an apocalyptic number.

2012211100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012211100120 is an abundant number, since it is smaller than the sum of its proper divisors (2863688455400).

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

2012211100120 is a wasteful number, since it uses less digits than its factorization.

2012211100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124844 (or 124840 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2012211100120 its reverse (210011122102), we get a palindrome (2222222222222).

The spelling of 2012211100120 in words is "two trillion, twelve billion, two hundred eleven million, one hundred thousand, one hundred twenty".