122016330 has 48 divisors (see below), whose sum is σ = 320828040. Its totient is φ = 32169984.

The previous prime is 122016329. The next prime is 122016331. The reversal of 122016330 is 33610221.

122016330 is a `hidden beast` number, since 12 + 20 + 1 + 633 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122016329) and next prime (122016331).

It can be written as a sum of positive squares in 4 ways, for example, as 56746089 + 65270241 = 7533^2 + 8079^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122016331) 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 23 ways as a sum of consecutive naturals, for example, 394 + ... + 15626.

Almost surely, 2^122016330 is an apocalyptic number.

122016330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122016330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160414020).

122016330 is an abundant number, since it is smaller than the sum of its proper divisors (198811710).

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

122016330 is a wasteful number, since it uses less digits than its factorization.

122016330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15335 (or 15332 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 122016330 is about 11046.1002168186. The cubic root of 122016330 is about 495.9896942231.

Adding to 122016330 its reverse (33610221), we get a palindrome (155626551).

The spelling of 122016330 in words is "one hundred twenty-two million, sixteen thousand, three hundred thirty".