12120032320 has 224 divisors, whose sum is σ = 32300850816. Its totient is φ = 4294656000.

The previous prime is 12120032311. The next prime is 12120032329. The reversal of 12120032320 is 2323002121.

It is an interprime number because it is at equal distance from previous prime (12120032311) and next prime (12120032329).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12120032294 and 12120032303.

It is not an unprimeable number, because it can be changed into a prime (12120032329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25952727 + ... + 25953193.

Almost surely, 2^12120032320 is an apocalyptic number.

12120032320 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 12120032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16150425408).

12120032320 is an abundant number, since it is smaller than the sum of its proper divisors (20180818496).

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

12120032320 is a wasteful number, since it uses less digits than its factorization.

12120032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12120032320 its reverse (2323002121), we get a palindrome (14443034441).

The spelling of 12120032320 in words is "twelve billion, one hundred twenty million, thirty-two thousand, three hundred twenty".