122020560 has 160 divisors (see below), whose sum is σ = 445150080. Its totient is φ = 30615552.

The previous prime is 122020559. The next prime is 122020567. The reversal of 122020560 is 65020221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35059 + ... + 38381.

It is an arithmetic number, because the mean of its divisors is an integer number (2782188).

Almost surely, 2^122020560 is an apocalyptic number.

122020560 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 122020560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222575040).

122020560 is an abundant number, since it is smaller than the sum of its proper divisors (323129520).

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

122020560 is a wasteful number, since it uses less digits than its factorization.

122020560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122020560 is about 11046.2916854481. The cubic root of 122020560 is about 495.9954257296.

Adding to 122020560 its reverse (65020221), we get a palindrome (187040781).

The spelling of 122020560 in words is "one hundred twenty-two million, twenty thousand, five hundred sixty".