122505616 has 40 divisors (see below), whose sum is σ = 253059200. Its totient is φ = 57283200.

The previous prime is 122505589. The next prime is 122505619. The reversal of 122505616 is 616505221.

It is not an unprimeable number, because it can be changed into a prime (122505619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21466 + ... + 26566.

It is an arithmetic number, because the mean of its divisors is an integer number (6326480).

Almost surely, 2^122505616 is an apocalyptic number.

122505616 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 122505616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126529600).

122505616 is an abundant number, since it is smaller than the sum of its proper divisors (130553584).

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

122505616 is a wasteful number, since it uses less digits than its factorization.

122505616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5207 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 122505616 is about 11068.2255127008. The cubic root of 122505616 is about 496.6517836078.

The spelling of 122505616 in words is "one hundred twenty-two million, five hundred five thousand, six hundred sixteen".