112222202200020 has 288 divisors, whose sum is σ = 386718672936960. Its totient is φ = 27091549215360.

The previous prime is 112222202199973. The next prime is 112222202200037. The reversal of 112222202200020 is 20002202222211.

112222202200020 is a `hidden beast` number, since 1 + 1 + 222 + 220 + 2 + 200 + 0 + 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 = 112222202199966 and 112222202200002.

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, 8385349 + ... + 17168531.

It is an arithmetic number, because the mean of its divisors is an integer number (1342773169920).

Almost surely, 2^{112222202200020} is an apocalyptic number.

112222202200020 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 112222202200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193359336468480).

112222202200020 is an abundant number, since it is smaller than the sum of its proper divisors (274496470736940).

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

112222202200020 is a wasteful number, since it uses less digits than its factorization.

112222202200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8783457 (or 8783443 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 112222202200020 its reverse (20002202222211), we get a palindrome (132224404422231).

The spelling of 112222202200020 in words is "one hundred twelve trillion, two hundred twenty-two billion, two hundred two million, two hundred thousand, twenty".