112022000 has 80 divisors (see below), whose sum is σ = 274684800. Its totient is φ = 44179200.

The previous prime is 112021999. The next prime is 112022011. The reversal of 112022000 is 220211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157646 + ... + 158354.

It is an arithmetic number, because the mean of its divisors is an integer number (3433560).

Almost surely, 2^112022000 is an apocalyptic number.

112022000 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 112022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137342400).

112022000 is an abundant number, since it is smaller than the sum of its proper divisors (162662800).

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

112022000 is an equidigital number, since it uses as much as digits as its factorization.

112022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 112022000 is about 10584.0445955221. The cubic root of 112022000 is about 482.0600121555.

Adding to 112022000 its reverse (220211), we get a palindrome (112242211).

The spelling of 112022000 in words is "one hundred twelve million, twenty-two thousand".