122360220 has 144 divisors (see below), whose sum is σ = 407822688. Its totient is φ = 30689280.

The previous prime is 122360219. The next prime is 122360233. The reversal of 122360220 is 22063221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122360193 and 122360202.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 81880 + ... + 83360.

It is an arithmetic number, because the mean of its divisors is an integer number (2832102).

Almost surely, 2^122360220 is an apocalyptic number.

122360220 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 122360220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203911344).

122360220 is an abundant number, since it is smaller than the sum of its proper divisors (285462468).

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

122360220 is a wasteful number, since it uses less digits than its factorization.

122360220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122360220 is about 11061.6553914864. The cubic root of 122360220 is about 496.4552218176.

The spelling of 122360220 in words is "one hundred twenty-two million, three hundred sixty thousand, two hundred twenty".