122588020 has 72 divisors (see below), whose sum is σ = 277272576. Its totient is φ = 45513216.

The previous prime is 122588009. The next prime is 122588023. The reversal of 122588020 is 20885221.

It is a self number, because there is not a number n which added to its sum of digits gives 122588020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122588023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733977 + ... + 734143.

It is an arithmetic number, because the mean of its divisors is an integer number (3851008).

Almost surely, 2^122588020 is an apocalyptic number.

122588020 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 122588020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138636288).

122588020 is an abundant number, since it is smaller than the sum of its proper divisors (154684556).

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

122588020 is a wasteful number, since it uses less digits than its factorization.

122588020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 122588020 is about 11071.9474348463. The cubic root of 122588020 is about 496.7631170632.

The spelling of 122588020 in words is "one hundred twenty-two million, five hundred eighty-eight thousand, twenty".