122022320 has 80 divisors (see below), whose sum is σ = 326199360. Its totient is φ = 41582592.

The previous prime is 122022319. The next prime is 122022353. The reversal of 122022320 is 23220221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122022295 and 122022304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107516 + ... + 108644.

It is an arithmetic number, because the mean of its divisors is an integer number (4077492).

Almost surely, 2^122022320 is an apocalyptic number.

122022320 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 122022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163099680).

122022320 is an abundant number, since it is smaller than the sum of its proper divisors (204177040).

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

122022320 is a wasteful number, since it uses less digits than its factorization.

122022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 122022320 is about 11046.3713499049. The cubic root of 122022320 is about 495.9978104308.

Adding to 122022320 its reverse (23220221), we get a palindrome (145242541).

The spelling of 122022320 in words is "one hundred twenty-two million, twenty-two thousand, three hundred twenty".