112770000 has 300 divisors, whose sum is σ = 453229920. Its totient is φ = 25632000.

The previous prime is 112769981. The next prime is 112770001. The reversal of 112770000 is 77211.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112770001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 629911 + ... + 630089.

Almost surely, 2^112770000 is an apocalyptic number.

112770000 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 112770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226614960).

112770000 is an abundant number, since it is smaller than the sum of its proper divisors (340459920).

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

112770000 is a wasteful number, since it uses less digits than its factorization.

112770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 112770000 is about 10619.3220122567. The cubic root of 112770000 is about 483.1305795113.

The spelling of 112770000 in words is "one hundred twelve million, seven hundred seventy thousand".