112920000 has 140 divisors (see below), whose sum is σ = 373736616. Its totient is φ = 30080000.

The previous prime is 112919999. The next prime is 112920007. The reversal of 112920000 is 29211.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112920007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119530 + ... + 120470.

Almost surely, 2^112920000 is an apocalyptic number.

112920000 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 112920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186868308).

112920000 is an abundant number, since it is smaller than the sum of its proper divisors (260816616).

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

112920000 is an frugal number, since it uses more digits than its factorization.

112920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 951 counting only the distinct ones).

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

The square root of 112920000 is about 10626.3822630282. The cubic root of 112920000 is about 483.3446952013.

Adding to 112920000 its reverse (29211), we get a palindrome (112949211).

The spelling of 112920000 in words is "one hundred twelve million, nine hundred twenty thousand".