112211840 has 64 divisors (see below), whose sum is σ = 288912960. Its totient is φ = 41428992.

The previous prime is 112211833. The next prime is 112211857. The reversal of 112211840 is 48112211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1577 + ... + 15063.

It is an arithmetic number, because the mean of its divisors is an integer number (4514265).

Almost surely, 2^112211840 is an apocalyptic number.

112211840 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 112211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144456480).

112211840 is an abundant number, since it is smaller than the sum of its proper divisors (176701120).

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

112211840 is a wasteful number, since it uses less digits than its factorization.

112211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13519 (or 13507 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 112211840 is about 10593.0090153837. The cubic root of 112211840 is about 482.3321688924.

The spelling of 112211840 in words is "one hundred twelve million, two hundred eleven thousand, eight hundred forty".