112289657200 has 240 divisors, whose sum is σ = 317313958464. Its totient is φ = 37380096000.

The previous prime is 112289657189. The next prime is 112289657209. The reversal of 112289657200 is 2756982211.

It is a super-2 number, since 2×112289657200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112289657209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70136400 + ... + 70138000.

Almost surely, 2^112289657200 is an apocalyptic number.

112289657200 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 112289657200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158656979232).

112289657200 is an abundant number, since it is smaller than the sum of its proper divisors (205024301264).

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

112289657200 is a wasteful number, since it uses less digits than its factorization.

112289657200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 112289657200 in words is "one hundred twelve billion, two hundred eighty-nine million, six hundred fifty-seven thousand, two hundred".