112780284930 has 256 divisors, whose sum is σ = 326239833600. Its totient is φ = 27635281920.

The previous prime is 112780284901. The next prime is 112780284931. The reversal of 112780284930 is 39482087211.

It is a happy number.

112780284930 is a `hidden beast` number, since 11 + 278 + 0 + 284 + 93 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (112780284931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22841422 + ... + 22846358.

It is an arithmetic number, because the mean of its divisors is an integer number (1274374350).

Almost surely, 2^112780284930 is an apocalyptic number.

112780284930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112780284930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163119916800).

112780284930 is an abundant number, since it is smaller than the sum of its proper divisors (213459548670).

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

112780284930 is a wasteful number, since it uses less digits than its factorization.

112780284930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 112780284930 in words is "one hundred twelve billion, seven hundred eighty million, two hundred eighty-four thousand, nine hundred thirty".