112112000220 has 192 divisors, whose sum is σ = 352058499072. Its totient is φ = 26417664000.

The previous prime is 112112000219. The next prime is 112112000237. The reversal of 112112000220 is 22000211211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112112000196 and 112112000205.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 35920260 + ... + 35923380.

It is an arithmetic number, because the mean of its divisors is an integer number (1833638016).

Almost surely, 2^112112000220 is an apocalyptic number.

112112000220 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 112112000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176029249536).

112112000220 is an abundant number, since it is smaller than the sum of its proper divisors (239946498852).

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

112112000220 is a wasteful number, since it uses less digits than its factorization.

112112000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112112000220 its reverse (22000211211), we get a palindrome (134112211431).

The spelling of 112112000220 in words is "one hundred twelve billion, one hundred twelve million, two hundred twenty", and thus it is an aban number.