2122112201120 has 24 divisors (see below), whose sum is σ = 5013490075524. Its totient is φ = 848844880384.

The previous prime is 2122112201117. The next prime is 2122112201147. The reversal of 2122112201120 is 211022112212.

It can be written as a sum of positive squares in 2 ways, for example, as 1943024117776 + 179088083344 = 1393924^2 + 423188^2 .

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 3 ways as a sum of consecutive naturals, for example, 6631600469 + ... + 6631600788.

Almost surely, 2^{2122112201120} is an apocalyptic number.

2122112201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122112201120 is an abundant number, since it is smaller than the sum of its proper divisors (2891377874404).

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

2122112201120 is a wasteful number, since it uses less digits than its factorization.

2122112201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13263201272 (or 13263201264 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2122112201120 its reverse (211022112212), we get a palindrome (2333134313332).

It can be divided in two parts, 2122112 and 201120, that added together give a palindrome (2323232).

The spelling of 2122112201120 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred one thousand, one hundred twenty".