112222212120 has 384 divisors, whose sum is σ = 381355827840. Its totient is φ = 28595773440.

The previous prime is 112222212101. The next prime is 112222212133. The reversal of 112222212120 is 21212222211.

It is a happy number.

112222212120 is a `hidden beast` number, since 11 + 222 + 221 + 212 + 0 = 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 = 112222212093 and 112222212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215397460 + ... + 215397980.

It is an arithmetic number, because the mean of its divisors is an integer number (993114135).

Almost surely, 2^112222212120 is an apocalyptic number.

112222212120 is a gapful number since it is divisible by the number (10) 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 112222212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190677913920).

112222212120 is an abundant number, since it is smaller than the sum of its proper divisors (269133615720).

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

112222212120 is a wasteful number, since it uses less digits than its factorization.

112222212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 828 counting only the distinct ones).

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

Adding to 112222212120 its reverse (21212222211), we get a palindrome (133434434331).

The spelling of 112222212120 in words is "one hundred twelve billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty".