112215040 has 176 divisors, whose sum is σ = 320707584. Its totient is φ = 36864000.

The previous prime is 112215023. The next prime is 112215053. The reversal of 112215040 is 40512211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110990 + ... + 1111090.

Almost surely, 2^112215040 is an apocalyptic number.

112215040 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 112215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160353792).

112215040 is an abundant number, since it is smaller than the sum of its proper divisors (208492544).

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

112215040 is a wasteful number, since it uses less digits than its factorization.

112215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 112215040 is about 10593.1600573200. The cubic root of 112215040 is about 482.3367538163.

Adding to 112215040 its reverse (40512211), we get a palindrome (152727251).

It can be divided in two parts, 11221 and 5040, that added together give a palindrome (16261).

The spelling of 112215040 in words is "one hundred twelve million, two hundred fifteen thousand, forty".