112212042240 has 320 divisors, whose sum is σ = 378491667840. Its totient is φ = 28282060800.

The previous prime is 112212042233. The next prime is 112212042251. The reversal of 112212042240 is 42240212211.

112212042240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 102289372 + ... + 102290468.

It is an arithmetic number, because the mean of its divisors is an integer number (1182786462).

Almost surely, 2^112212042240 is an apocalyptic number.

112212042240 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 112212042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189245833920).

112212042240 is an abundant number, since it is smaller than the sum of its proper divisors (266279625600).

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

112212042240 is a wasteful number, since it uses less digits than its factorization.

112212042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 112212042240 its reverse (42240212211), we get a palindrome (154452254451).

The spelling of 112212042240 in words is "one hundred twelve billion, two hundred twelve million, forty-two thousand, two hundred forty".