122105620 has 96 divisors (see below), whose sum is σ = 329430528. Its totient is φ = 36951552.

The previous prime is 122105617. The next prime is 122105623. The reversal of 122105620 is 26501221.

It is an interprime number because it is at equal distance from previous prime (122105617) and next prime (122105623).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122105623) 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, 40402 + ... + 43318.

It is an arithmetic number, because the mean of its divisors is an integer number (3431568).

Almost surely, 2^122105620 is an apocalyptic number.

122105620 is a gapful number since it is divisible by the number (10) 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 122105620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164715264).

122105620 is an abundant number, since it is smaller than the sum of its proper divisors (207324908).

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

122105620 is a wasteful number, since it uses less digits than its factorization.

122105620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 122105620 is about 11050.1411755688. The cubic root of 122105620 is about 496.1106510418.

Adding to 122105620 its reverse (26501221), we get a palindrome (148606841).

The spelling of 122105620 in words is "one hundred twenty-two million, one hundred five thousand, six hundred twenty".