112242737880 has 1536 divisors, whose sum is σ = 511128576000. Its totient is φ = 21633454080.

The previous prime is 112242737839. The next prime is 112242737909. The reversal of 112242737880 is 88737242211.

112242737880 is a `hidden beast` number, since 11 + 224 + 273 + 78 + 80 = 666.

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

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 405208302 + ... + 405208578.

It is an arithmetic number, because the mean of its divisors is an integer number (332766000).

Almost surely, 2^112242737880 is an apocalyptic number.

112242737880 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 112242737880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255564288000).

112242737880 is an abundant number, since it is smaller than the sum of its proper divisors (398885838120).

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

112242737880 is a wasteful number, since it uses less digits than its factorization.

112242737880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 112242737880 in words is "one hundred twelve billion, two hundred forty-two million, seven hundred thirty-seven thousand, eight hundred eighty".