122319216 has 120 divisors (see below), whose sum is σ = 375176880. Its totient is φ = 37029888.

The previous prime is 122319193. The next prime is 122319259. The reversal of 122319216 is 612913221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122319216.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 70131 + ... + 71853.

It is an arithmetic number, because the mean of its divisors is an integer number (3126474).

Almost surely, 2^122319216 is an apocalyptic number.

122319216 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 122319216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187588440).

122319216 is an abundant number, since it is smaller than the sum of its proper divisors (252857664).

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

122319216 is a wasteful number, since it uses less digits than its factorization.

122319216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1774 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 122319216 is about 11059.8018065425. The cubic root of 122319216 is about 496.3997600991.

The spelling of 122319216 in words is "one hundred twenty-two million, three hundred nineteen thousand, two hundred sixteen".