842112000 has 528 divisors, whose sum is σ = 3287842272. Its totient is φ = 206438400.

The previous prime is 842111989. The next prime is 842112049. The reversal of 842112000 is 211248.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19583979 + ... + 19584021.

It is an arithmetic number, because the mean of its divisors is an integer number (6226974).

Almost surely, 2^842112000 is an apocalyptic number.

842112000 is a gapful number since it is divisible by the number (80) 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 842112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643921136).

842112000 is an abundant number, since it is smaller than the sum of its proper divisors (2445730272).

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

842112000 is a wasteful number, since it uses less digits than its factorization.

842112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 842112000 is about 29019.1660803683. The cubic root of 842112000 is about 944.3289096144.

Adding to 842112000 its reverse (211248), we get a palindrome (842323248).

The spelling of 842112000 in words is "eight hundred forty-two million, one hundred twelve thousand".