222120012111120 has 480 divisors, whose sum is σ = 801725241657600. Its totient is φ = 54908582952960.

The previous prime is 222120012111083. The next prime is 222120012111149. The reversal of 222120012111120 is 21111210021222.

222120012111120 is a `hidden beast` number, since 2 + 221 + 200 + 1 + 211 + 11 + 20 = 666.

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 = 222120012111093 and 222120012111102.

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 95 ways as a sum of consecutive naturals, for example, 9348080040 + ... + 9348103800.

It is an arithmetic number, because the mean of its divisors is an integer number (1670260920120).

Almost surely, 2^{222120012111120} is an apocalyptic number.

222120012111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222120012111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400862620828800).

222120012111120 is an abundant number, since it is smaller than the sum of its proper divisors (579605229546480).

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

222120012111120 is a wasteful number, since it uses less digits than its factorization.

222120012111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35263 (or 35254 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222120012111120 its reverse (21111210021222), we get a palindrome (243231222132342).

The spelling of 222120012111120 in words is "two hundred twenty-two trillion, one hundred twenty billion, twelve million, one hundred eleven thousand, one hundred twenty".