112005720 has 128 divisors (see below), whose sum is σ = 376574400. Its totient is φ = 29611008.

The previous prime is 112005689. The next prime is 112005721. The reversal of 112005720 is 27500211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112005693 and 112005702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112005721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147582 + ... + 148338.

Almost surely, 2^112005720 is an apocalyptic number.

112005720 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 112005720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188287200).

112005720 is an abundant number, since it is smaller than the sum of its proper divisors (264568680).

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

112005720 is a wasteful number, since it uses less digits than its factorization.

112005720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 112005720 is about 10583.2754854062. The cubic root of 112005720 is about 482.0366586559.

Adding to 112005720 its reverse (27500211), we get a palindrome (139505931).

The spelling of 112005720 in words is "one hundred twelve million, five thousand, seven hundred twenty".