122100616 has 32 divisors (see below), whose sum is σ = 251837280. Its totient is φ = 55495440.

The previous prime is 122100577. The next prime is 122100623. The reversal of 122100616 is 616001221.

It is a junction number, because it is equal to n+sod(n) for n = 122100593 and 122100602.

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 7 ways as a sum of consecutive naturals, for example, 4915 + ... + 16381.

It is an arithmetic number, because the mean of its divisors is an integer number (7869915).

Almost surely, 2^122100616 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 122100616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125918640).

122100616 is an abundant number, since it is smaller than the sum of its proper divisors (129736664).

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

122100616 is a wasteful number, since it uses less digits than its factorization.

122100616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11506 (or 11480 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 122100616 is about 11049.9147508024. The cubic root of 122100616 is about 496.1038739264.

Adding to 122100616 its reverse (616001221), we get a palindrome (738101837).

The spelling of 122100616 in words is "one hundred twenty-two million, one hundred thousand, six hundred sixteen".