122122320 has 80 divisors (see below), whose sum is σ = 380630400. Its totient is φ = 32389632.

The previous prime is 122122303. The next prime is 122122327. The reversal of 122122320 is 23221221.

It is a happy number.

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

It is a super-2 number, since 2×122122320² = 29827722084364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122122320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46482 + ... + 49038.

It is an arithmetic number, because the mean of its divisors is an integer number (4757880).

Almost surely, 2^122122320 is an apocalyptic number.

122122320 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 122122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190315200).

122122320 is an abundant number, since it is smaller than the sum of its proper divisors (258508080).

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

122122320 is a wasteful number, since it uses less digits than its factorization.

122122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122122320 is about 11050.8967961881. The cubic root of 122122320 is about 496.1332671731.

Adding to 122122320 its reverse (23221221), we get a palindrome (145343541).

The spelling of 122122320 in words is "one hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".