122105016 has 128 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 34813440.

The previous prime is 122105003. The next prime is 122105017. The reversal of 122105016 is 610501221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122105016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122105017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38881 + ... + 41903.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2^122105016 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 122105016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

122105016 is an abundant number, since it is smaller than the sum of its proper divisors (269805384).

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

122105016 is a wasteful number, since it uses less digits than its factorization.

122105016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 122105016 is about 11050.1138455674. The cubic root of 122105016 is about 496.1098330305.

Adding to 122105016 its reverse (610501221), we get a palindrome (732606237).

The spelling of 122105016 in words is "one hundred twenty-two million, one hundred five thousand, sixteen".