112111002120 has 128 divisors (see below), whose sum is σ = 362402087040. Its totient is φ = 27581521920.

The previous prime is 112111002089. The next prime is 112111002151. The reversal of 112111002120 is 21200111211.

It is an interprime number because it is at equal distance from previous prime (112111002089) and next prime (112111002151).

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 = 112111002096 and 112111002105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2993752 + ... + 3030968.

It is an arithmetic number, because the mean of its divisors is an integer number (2831266305).

Almost surely, 2^112111002120 is an apocalyptic number.

112111002120 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 112111002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181201043520).

112111002120 is an abundant number, since it is smaller than the sum of its proper divisors (250291084920).

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

112111002120 is a wasteful number, since it uses less digits than its factorization.

112111002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39175 (or 39171 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112111002120 its reverse (21200111211), we get a palindrome (133311113331).

The spelling of 112111002120 in words is "one hundred twelve billion, one hundred eleven million, two thousand, one hundred twenty".