122908320 has 192 divisors, whose sum is σ = 449245440. Its totient is φ = 31325184.

The previous prime is 122908307. The next prime is 122908327. The reversal of 122908320 is 23809221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122908327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98742 + ... + 99978.

It is an arithmetic number, because the mean of its divisors is an integer number (2339820).

Almost surely, 2^122908320 is an apocalyptic number.

122908320 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 122908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224622720).

122908320 is an abundant number, since it is smaller than the sum of its proper divisors (326337120).

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

122908320 is a wasteful number, since it uses less digits than its factorization.

122908320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 122908320 is about 11086.4024823204. The cubic root of 122908320 is about 497.1953910851.

Subtracting from 122908320 its reverse (23809221), we obtain a palindrome (99099099).

The spelling of 122908320 in words is "one hundred twenty-two million, nine hundred eight thousand, three hundred twenty".