222202200111120 has 240 divisors, whose sum is σ = 763829154454080. Its totient is φ = 57857281219584.

The previous prime is 222202200111061. The next prime is 222202200111161. The reversal of 222202200111120 is 21111002202222.

It is a happy number.

222202200111120 is a `hidden beast` number, since 222 + 202 + 200 + 11 + 11 + 20 = 666.

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

It is a super-3 number, since 3×222202200111120³ (a number of 44 digits) contains 333 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 = 222202200111093 and 222202200111102.

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, 95100399 + ... + 97408881.

It is an arithmetic number, because the mean of its divisors is an integer number (3182621476892).

Almost surely, 2^{222202200111120} is an apocalyptic number.

222202200111120 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 222202200111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381914577227040).

222202200111120 is an abundant number, since it is smaller than the sum of its proper divisors (541626954342960).

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

222202200111120 is a wasteful number, since it uses less digits than its factorization.

222202200111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311654 (or 2311645 counting only the distinct ones).

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

Adding to 222202200111120 its reverse (21111002202222), we get a palindrome (243313202313342).

The spelling of 222202200111120 in words is "two hundred twenty-two trillion, two hundred two billion, two hundred million, one hundred eleven thousand, one hundred twenty".