112012000 has 96 divisors (see below), whose sum is σ = 282338784. Its totient is φ = 43648000.

The previous prime is 112011979. The next prime is 112012009. The reversal of 112012000 is 210211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163659 + ... + 164341.

It is an arithmetic number, because the mean of its divisors is an integer number (2941029).

Almost surely, 2^112012000 is an apocalyptic number.

112012000 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 112012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

112012000 is an abundant number, since it is smaller than the sum of its proper divisors (170326784).

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

112012000 is an equidigital number, since it uses as much as digits as its factorization.

112012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 112012000 is about 10583.5721757826. The cubic root of 112012000 is about 482.0456675221.

Adding to 112012000 its reverse (210211), we get a palindrome (112222211).

The spelling of 112012000 in words is "one hundred twelve million, twelve thousand".