112290000 has 200 divisors, whose sum is σ = 383502240. Its totient is φ = 28224000.

The previous prime is 112289999. The next prime is 112290041. The reversal of 112290000 is 92211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 569902 + ... + 570098.

Almost surely, 2^112290000 is an apocalyptic number.

112290000 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 112290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191751120).

112290000 is an abundant number, since it is smaller than the sum of its proper divisors (271212240).

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

112290000 is a wasteful number, since it uses less digits than its factorization.

112290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 112290000 is about 10596.6975987805. The cubic root of 112290000 is about 482.4441307339. Note that the first 3 decimals are identical.

The spelling of 112290000 in words is "one hundred twelve million, two hundred ninety thousand".