222120212111120 has 40 divisors (see below), whose sum is σ = 516434376214680. Its totient is φ = 88847244748800.

The previous prime is 222120212111069. The next prime is 222120212111153. The reversal of 222120212111120 is 21111212021222.

It can be written as a sum of positive squares in 4 ways, for example, as 6621687613696 + 215498524497424 = 2573264^2 + 14679868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 222120212111092 and 222120212111101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4578281 + ... + 21568520.

It is an arithmetic number, because the mean of its divisors is an integer number (12910859405367).

Almost surely, 2^{222120212111120} is an apocalyptic number.

222120212111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222120212111120 is an abundant number, since it is smaller than the sum of its proper divisors (294314164103560).

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

222120212111120 is a wasteful number, since it uses less digits than its factorization.

222120212111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26253003 (or 26252997 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 222120212111120 its reverse (21111212021222), we get a palindrome (243231424132342).

The spelling of 222120212111120 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".