2212000222120 has 64 divisors (see below), whose sum is σ = 5420069802000. Its totient is φ = 807561689088.

The previous prime is 2212000222109. The next prime is 2212000222127. The reversal of 2212000222120 is 212220002122.

It can be written as a sum of positive squares in 8 ways, for example, as 679836528484 + 1532163693636 = 824522^2 + 1237806^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2212000222094 and 2212000222103.

It is not an unprimeable number, because it can be changed into a prime (2212000222127) 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, 23851735 + ... + 23944294.

Almost surely, 2^{2212000222120} is an apocalyptic number.

2212000222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212000222120 is an abundant number, since it is smaller than the sum of its proper divisors (3208069579880).

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

2212000222120 is a wasteful number, since it uses less digits than its factorization.

2212000222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47796142 (or 47796138 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2212000222120 its reverse (212220002122), we get a palindrome (2424220224242).

The spelling of 2212000222120 in words is "two trillion, two hundred twelve billion, two hundred twenty-two thousand, one hundred twenty".