112016000 has 64 divisors (see below), whose sum is σ = 278539560. Its totient is φ = 44800000.

The previous prime is 112015999. The next prime is 112016017. The reversal of 112016000 is 610211.

It can be written as a sum of positive squares in 4 ways, for example, as 28987456 + 83028544 = 5384^2 + 9112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12500 + ... + 19500.

Almost surely, 2^112016000 is an apocalyptic number.

112016000 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 112016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139269780).

112016000 is an abundant number, since it is smaller than the sum of its proper divisors (166523560).

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

112016000 is an frugal number, since it uses more digits than its factorization.

112016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7030 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 112016000 is about 10583.7611462088. The cubic root of 112016000 is about 482.0514054779.

Adding to 112016000 its reverse (610211), we get a palindrome (112626211).

The spelling of 112016000 in words is "one hundred twelve million, sixteen thousand".