112758912 has 256 divisors, whose sum is σ = 391680000. Its totient is φ = 31269888.

The previous prime is 112758907. The next prime is 112758917. The reversal of 112758912 is 219857211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112758907) and next prime (112758917).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (10080) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112758917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427289 + ... + 1427367.

It is an arithmetic number, because the mean of its divisors is an integer number (1530000).

Almost surely, 2^112758912 is an apocalyptic number.

112758912 is a gapful number since it is divisible by the number (12) 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 112758912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195840000).

112758912 is an abundant number, since it is smaller than the sum of its proper divisors (278921088).

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

112758912 is an equidigital number, since it uses as much as digits as its factorization.

112758912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 112758912 is about 10618.7999321957. The cubic root of 112758912 is about 483.1147445450.

The spelling of 112758912 in words is "one hundred twelve million, seven hundred fifty-eight thousand, nine hundred twelve".