12122100320 has 192 divisors, whose sum is σ = 34318287360. Its totient is φ = 3994214400.

The previous prime is 12122100317. The next prime is 12122100371. The reversal of 12122100320 is 2300122121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12122100295 and 12122100304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761240 + ... + 777000.

It is an arithmetic number, because the mean of its divisors is an integer number (178741080).

Almost surely, 2^12122100320 is an apocalyptic number.

12122100320 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 12122100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159143680).

12122100320 is an abundant number, since it is smaller than the sum of its proper divisors (22196187040).

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

12122100320 is a wasteful number, since it uses less digits than its factorization.

12122100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15829 (or 15821 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12122100320 its reverse (2300122121), we get a palindrome (14422222441).

The spelling of 12122100320 in words is "twelve billion, one hundred twenty-two million, one hundred thousand, three hundred twenty".