1112441730192 has 240 divisors, whose sum is σ = 3375946894320. Its totient is φ = 339930759168.

The previous prime is 1112441730157. The next prime is 1112441730199. The reversal of 1112441730192 is 2910371442111.

1112441730192 is a `hidden beast` number, since 1 + 1 + 1 + 24 + 417 + 30 + 192 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6839951616 + 1105601778576 = 82704^2 + 1051476^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1112441730199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227537284 + ... + 227542172.

It is an arithmetic number, because the mean of its divisors is an integer number (14066445393).

Almost surely, 2^{1112441730192} is an apocalyptic number.

1112441730192 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 1112441730192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687973447160).

1112441730192 is an abundant number, since it is smaller than the sum of its proper divisors (2263505164128).

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

1112441730192 is a wasteful number, since it uses less digits than its factorization.

1112441730192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1112441730192 in words is "one trillion, one hundred twelve billion, four hundred forty-one million, seven hundred thirty thousand, one hundred ninety-two".