2112200002120 has 64 divisors (see below), whose sum is σ = 5120673228720. Its totient is φ = 779485400064.

The previous prime is 2112200002117. The next prime is 2112200002127. The reversal of 2112200002120 is 212000022112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 530033505156 + 1582166496964 = 728034^2 + 1257842^2 .

It is a super-2 number, since 2×2112200002120² (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 2112200002120.

It is not an unprimeable number, because it can be changed into a prime (2112200002127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45519 + ... + 2055838.

Almost surely, 2^{2112200002120} is an apocalyptic number.

2112200002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112200002120 is an abundant number, since it is smaller than the sum of its proper divisors (3008473226600).

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

2112200002120 is a wasteful number, since it uses less digits than its factorization.

2112200002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103314 (or 2103310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2112200002120 its reverse (212000022112), we get a palindrome (2324200024232).

The spelling of 2112200002120 in words is "two trillion, one hundred twelve billion, two hundred million, two thousand, one hundred twenty".