222221211120 has 240 divisors, whose sum is σ = 764645300640. Its totient is φ = 57814308864.

The previous prime is 222221211059. The next prime is 222221211283. The reversal of 222221211120 is 21112122222.

It is a happy number.

222221211120 is a `hidden beast` number, since 222 + 221 + 211 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×222221211120² (a number of 23 digits) contains 22 as substring.

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 = 222221211093 and 222221211102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6814374 + ... + 6846906.

It is an arithmetic number, because the mean of its divisors is an integer number (3186022086).

Almost surely, 2^222221211120 is an apocalyptic number.

222221211120 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 222221211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382322650320).

222221211120 is an abundant number, since it is smaller than the sum of its proper divisors (542424089520).

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

222221211120 is a wasteful number, since it uses less digits than its factorization.

222221211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32784 (or 32775 counting only the distinct ones).

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

Adding to 222221211120 its reverse (21112122222), we get a palindrome (243333333342).

The spelling of 222221211120 in words is "two hundred twenty-two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".