112800522240 has 672 divisors, whose sum is σ = 463714917120. Its totient is φ = 25767051264.

The previous prime is 112800522227. The next prime is 112800522251. The reversal of 112800522240 is 42225008211.

112800522240 is a `hidden beast` number, since 112 + 8 + 0 + 0 + 522 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69672151 + ... + 69673769.

It is an arithmetic number, because the mean of its divisors is an integer number (690051960).

Almost surely, 2^112800522240 is an apocalyptic number.

112800522240 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 112800522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231857458560).

112800522240 is an abundant number, since it is smaller than the sum of its proper divisors (350914394880).

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

112800522240 is an frugal number, since it uses more digits than its factorization.

112800522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 112800522240 in words is "one hundred twelve billion, eight hundred million, five hundred twenty-two thousand, two hundred forty".