112250593800 has 576 divisors, whose sum is σ = 411472414080. Its totient is φ = 28384266240.

The previous prime is 112250593787. The next prime is 112250593813. The reversal of 112250593800 is 8395052211.

112250593800 is a `hidden beast` number, since 1 + 1 + 225 + 0 + 59 + 380 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112250593787) and next prime (112250593813).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153138234 + ... + 153138966.

It is an arithmetic number, because the mean of its divisors is an integer number (714361830).

Almost surely, 2^112250593800 is an apocalyptic number.

112250593800 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 112250593800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205736207040).

112250593800 is an abundant number, since it is smaller than the sum of its proper divisors (299221820280).

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

112250593800 is a wasteful number, since it uses less digits than its factorization.

112250593800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 112250593800 in words is "one hundred twelve billion, two hundred fifty million, five hundred ninety-three thousand, eight hundred".