112125264000 has 256 divisors, whose sum is σ = 383690511360. Its totient is φ = 28935168000.

The previous prime is 112125263993. The next prime is 112125264037. The reversal of 112125264000 is 462521211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450324 + ... + 1525676.

It is an arithmetic number, because the mean of its divisors is an integer number (1498791060).

Almost surely, 2^112125264000 is an apocalyptic number.

112125264000 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 112125264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191845255680).

112125264000 is an abundant number, since it is smaller than the sum of its proper divisors (271565247360).

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

112125264000 is an equidigital number, since it uses as much as digits as its factorization.

112125264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75416 (or 75394 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 112125264000 its reverse (462521211), we get a palindrome (112587785211).

The spelling of 112125264000 in words is "one hundred twelve billion, one hundred twenty-five million, two hundred sixty-four thousand".