1122417216 has 112 divisors (see below), whose sum is σ = 3324148800. Its totient is φ = 371367936.

The previous prime is 1122417211. The next prime is 1122417223. The reversal of 1122417216 is 6127142211.

1122417216 is a `hidden beast` number, since 11 + 22 + 417 + 216 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1122417216.

It is not an unprimeable number, because it can be changed into a prime (1122417211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237856 + ... + 242528.

It is an arithmetic number, because the mean of its divisors is an integer number (29679900).

Almost surely, 2^1122417216 is an apocalyptic number.

1122417216 is a gapful number since it is divisible by the number (16) 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 1122417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662074400).

1122417216 is an abundant number, since it is smaller than the sum of its proper divisors (2201731584).

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

1122417216 is a wasteful number, since it uses less digits than its factorization.

1122417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4817 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1122417216 is about 33502.4956682334. The cubic root of 1122417216 is about 1039.2453894804.

Adding to 1122417216 its reverse (6127142211), we get a palindrome (7249559427).

The spelling of 1122417216 in words is "one billion, one hundred twenty-two million, four hundred seventeen thousand, two hundred sixteen".