112111022111120 has 80 divisors (see below), whose sum is σ = 262146429768960. Its totient is φ = 44588418051072.

The previous prime is 112111022111117. The next prime is 112111022111237. The reversal of 112111022111120 is 21111220111211.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117421097 + ... + 118372023.

It is an arithmetic number, because the mean of its divisors is an integer number (3276830372112).

Almost surely, 2^{112111022111120} is an apocalyptic number.

112111022111120 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 112111022111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131073214884480).

112111022111120 is an abundant number, since it is smaller than the sum of its proper divisors (150035407657840).

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

112111022111120 is a wasteful number, since it uses less digits than its factorization.

112111022111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959352 (or 959346 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 112111022111120 its reverse (21111220111211), we get a palindrome (133222242222331).

The spelling of 112111022111120 in words is "one hundred twelve trillion, one hundred eleven billion, twenty-two million, one hundred eleven thousand, one hundred twenty".