112042000 has 160 divisors (see below), whose sum is σ = 317551104. Its totient is φ = 37440000.

The previous prime is 112041991. The next prime is 112042009. The reversal of 112042000 is 240211.

112042000 = 6³ + 7³ + ... + 145³.

It is an interprime number because it is at equal distance from previous prime (112041991) and next prime (112042009).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112042009) 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, 741925 + ... + 742075.

Almost surely, 2^112042000 is an apocalyptic number.

112042000 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 112042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158775552).

112042000 is an abundant number, since it is smaller than the sum of its proper divisors (205509104).

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

112042000 is a wasteful number, since it uses less digits than its factorization.

112042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 112042000 is about 10584.9893717471. The cubic root of 112042000 is about 482.0886988615.

Adding to 112042000 its reverse (240211), we get a palindrome (112282211).

The spelling of 112042000 in words is "one hundred twelve million, forty-two thousand".