112225257329800 has 96 divisors (see below), whose sum is σ = 261726123589920. Its totient is φ = 44752070246400.

The previous prime is 112225257329771. The next prime is 112225257329819. The reversal of 112225257329800 is 8923752522211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1712362632 + ... + 1712428168.

It is an arithmetic number, because the mean of its divisors is an integer number (2726313787395).

Almost surely, 2^{112225257329800} is an apocalyptic number.

112225257329800 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 112225257329800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130863061794960).

112225257329800 is an abundant number, since it is smaller than the sum of its proper divisors (149500866260120).

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

112225257329800 is a wasteful number, since it uses less digits than its factorization.

112225257329800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91751 (or 91742 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

It can be divided in two parts, 112225 and 257329800, that added together give a square (257442025 = 16045²).

The spelling of 112225257329800 in words is "one hundred twelve trillion, two hundred twenty-five billion, two hundred fifty-seven million, three hundred twenty-nine thousand, eight hundred".