122120332320 has 288 divisors, whose sum is σ = 473807916288. Its totient is φ = 26271178752.

The previous prime is 122120332291. The next prime is 122120332349. The reversal of 122120332320 is 23233021221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122120332291) and next prime (122120332349).

It is a super-3 number, since 3×122120332320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247129 + ... + 552551.

It is an arithmetic number, because the mean of its divisors is an integer number (1645166376).

Almost surely, 2^122120332320 is an apocalyptic number.

122120332320 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 122120332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236903958144).

122120332320 is an abundant number, since it is smaller than the sum of its proper divisors (351687583968).

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

122120332320 is a wasteful number, since it uses less digits than its factorization.

122120332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305472 (or 305457 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122120332320 its reverse (23233021221), we get a palindrome (145353353541).

The spelling of 122120332320 in words is "one hundred twenty-two billion, one hundred twenty million, three hundred thirty-two thousand, three hundred twenty".