112416216 has 32 divisors (see below), whose sum is σ = 306590400. Its totient is φ = 34065440.

The previous prime is 112416211. The next prime is 112416221. The reversal of 112416216 is 612614211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112416211) and next prime (112416221).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112416211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212646 + ... + 213173.

It is an arithmetic number, because the mean of its divisors is an integer number (9580950).

Almost surely, 2^112416216 is an apocalyptic number.

It is an amenable number.

112416216 is an abundant number, since it is smaller than the sum of its proper divisors (194174184).

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

112416216 is a wasteful number, since it uses less digits than its factorization.

112416216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425839 (or 425835 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 112416216 is about 10602.6513665215. The cubic root of 112416216 is about 482.6248217067.

It can be divided in two parts, 112 and 416216, that added together give a triangular number (416328 = T₉₁₂).

The spelling of 112416216 in words is "one hundred twelve million, four hundred sixteen thousand, two hundred sixteen".