112111020 has 288 divisors, whose sum is σ = 429004800. Its totient is φ = 24167808.

The previous prime is 112111009. The next prime is 112111049. The reversal of 112111020 is 20111211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112110993 and 112111011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 502629 + ... + 502851.

It is an arithmetic number, because the mean of its divisors is an integer number (1489600).

Almost surely, 2^112111020 is an apocalyptic number.

112111020 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 112111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214502400).

112111020 is an abundant number, since it is smaller than the sum of its proper divisors (316893780).

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

112111020 is a wasteful number, since it uses less digits than its factorization.

112111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 112111020 is about 10588.2491470498. The cubic root of 112111020 is about 482.1876704731.

Adding to 112111020 its reverse (20111211), we get a palindrome (132222231).

The spelling of 112111020 in words is "one hundred twelve million, one hundred eleven thousand, twenty".