112112420 has 48 divisors (see below), whose sum is σ = 271168128. Its totient is φ = 38138880.

The previous prime is 112112417. The next prime is 112112423. The reversal of 112112420 is 24211211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112112417) and next prime (112112423).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 112112395 and 112112404.

It is not an unprimeable number, because it can be changed into a prime (112112423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15284 + ... + 21396.

It is an arithmetic number, because the mean of its divisors is an integer number (5649336).

Almost surely, 2^112112420 is an apocalyptic number.

112112420 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 112112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135584064).

112112420 is an abundant number, since it is smaller than the sum of its proper divisors (159055708).

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

112112420 is a wasteful number, since it uses less digits than its factorization.

112112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260 (or 6258 counting only the distinct ones).

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

The square root of 112112420 is about 10588.3152578680. The cubic root of 112112420 is about 482.1896775905.

Adding to 112112420 its reverse (24211211), we get a palindrome (136323631).

It can be divided in two parts, 11211 and 2420, that added together give a palindrome (13631).

The spelling of 112112420 in words is "one hundred twelve million, one hundred twelve thousand, four hundred twenty".