222120221010120 has 48 divisors (see below), whose sum is σ = 721890718284060. Its totient is φ = 59232058935936.

The previous prime is 222120221010113. The next prime is 222120221010133. The reversal of 222120221010120 is 21010122021222.

It is a happy number.

222120221010120 is a `hidden beast` number, since 2 + 221 + 202 + 210 + 10 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 216676221445476 + 5443999564644 = 14719926^2 + 2333238^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222120221010093 and 222120221010102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308500306599 + ... + 308500307318.

Almost surely, 2^{222120221010120} is an apocalyptic number.

222120221010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222120221010120 is an abundant number, since it is smaller than the sum of its proper divisors (499770497273940).

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

222120221010120 is a wasteful number, since it uses less digits than its factorization.

222120221010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617000613934 (or 617000613927 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222120221010120 its reverse (21010122021222), we get a palindrome (243130343031342).

The spelling of 222120221010120 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, ten thousand, one hundred twenty".