2212022222120 has 64 divisors (see below), whose sum is σ = 5027997885840. Its totient is φ = 875757312000.

The previous prime is 2212022222101. The next prime is 2212022222167. The reversal of 2212022222120 is 212222202122.

It can be written as a sum of positive squares in 8 ways, for example, as 1568250280804 + 643771941316 = 1252298^2 + 802354^2 .

It is a super-2 number, since 2×2212022222120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2212022222092 and 2212022222101.

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, 12277004 + ... + 12455876.

Almost surely, 2^{2212022222120} is an apocalyptic number.

2212022222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212022222120 is an abundant number, since it is smaller than the sum of its proper divisors (2815975663720).

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

2212022222120 is a wasteful number, since it uses less digits than its factorization.

2212022222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182046 (or 182042 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2212022222120 its reverse (212222202122), we get a palindrome (2424244424242).

The spelling of 2212022222120 in words is "two trillion, two hundred twelve billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty".