112221110122000 has 160 divisors (see below), whose sum is σ = 296053211810304. Its totient is φ = 40802944256000.

The previous prime is 112221110121983. The next prime is 112221110122003. The reversal of 112221110122000 is 221011122211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112221110122003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 192274617 + ... + 192857383.

Almost surely, 2^{112221110122000} is an apocalyptic number.

112221110122000 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 112221110122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148026605905152).

112221110122000 is an abundant number, since it is smaller than the sum of its proper divisors (183832101688304).

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

112221110122000 is a wasteful number, since it uses less digits than its factorization.

112221110122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591554 (or 591538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112221110122000 its reverse (221011122211), we get a palindrome (112442121244211).

It can be divided in two parts, 1122211 and 10122000, that added together give a palindrome (11244211).

The spelling of 112221110122000 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred ten million, one hundred twenty-two thousand".