122116104 has 144 divisors (see below), whose sum is σ = 369729360. Its totient is φ = 36379200.

The previous prime is 122116069. The next prime is 122116139. The reversal of 122116104 is 401611221.

It is an interprime number because it is at equal distance from previous prime (122116069) and next prime (122116139).

It is a super-3 number, since 3×122116104³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 932119 + ... + 932249.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 2^122116104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122116104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184864680).

122116104 is an abundant number, since it is smaller than the sum of its proper divisors (247613256).

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

122116104 is a wasteful number, since it uses less digits than its factorization.

122116104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 122116104 is about 11050.6155484661. The cubic root of 122116104 is about 496.1248493378.

Adding to 122116104 its reverse (401611221), we get a palindrome (523727325).

The spelling of 122116104 in words is "one hundred twenty-two million, one hundred sixteen thousand, one hundred four".