122106816 has 168 divisors, whose sum is σ = 393862560. Its totient is φ = 35887104.

The previous prime is 122106781. The next prime is 122106823. The reversal of 122106816 is 618601221.

It is a self number, because there is not a number n which added to its sum of digits gives 122106816.

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, 171870 + ... + 172578.

It is an arithmetic number, because the mean of its divisors is an integer number (2344420).

Almost surely, 2^122106816 is an apocalyptic number.

122106816 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 122106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196931280).

122106816 is an abundant number, since it is smaller than the sum of its proper divisors (271755744).

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

122106816 is a wasteful number, since it uses less digits than its factorization.

122106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 122106816 is about 11050.1952923919. The cubic root of 122106816 is about 496.1122708045.

The spelling of 122106816 in words is "one hundred twenty-two million, one hundred six thousand, eight hundred sixteen".