112200011002220 has 192 divisors, whose sum is σ = 245600280576000. Its totient is φ = 43009989120000.

The previous prime is 112200011002181. The next prime is 112200011002237. The reversal of 112200011002220 is 22200110002211.

It is a junction number, because it is equal to n+sod(n) for n = 112200011002195 and 112200011002204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24134222456 + ... + 24134227104.

It is an arithmetic number, because the mean of its divisors is an integer number (1279168128000).

Almost surely, 2^{112200011002220} is an apocalyptic number.

112200011002220 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 112200011002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122800140288000).

112200011002220 is an abundant number, since it is smaller than the sum of its proper divisors (133400269573780).

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

112200011002220 is a wasteful number, since it uses less digits than its factorization.

112200011002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112200011002220 its reverse (22200110002211), we get a palindrome (134400121004431).

It can be divided in two parts, 11220001 and 1002220, that added together give a palindrome (12222221).

The spelling of 112200011002220 in words is "one hundred twelve trillion, two hundred billion, eleven million, two thousand, two hundred twenty".