12013345120 has 192 divisors, whose sum is σ = 35529943680. Its totient is φ = 3742728192.

The previous prime is 12013345087. The next prime is 12013345133. The reversal of 12013345120 is 2154331021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12013345091 and 12013345100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541282 + ... + 563038.

It is an arithmetic number, because the mean of its divisors is an integer number (185051790).

Almost surely, 2^12013345120 is an apocalyptic number.

12013345120 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 12013345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17764971840).

12013345120 is an abundant number, since it is smaller than the sum of its proper divisors (23516598560).

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

12013345120 is a wasteful number, since it uses less digits than its factorization.

12013345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21825 (or 21817 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 12013345120 its reverse (2154331021), we get a palindrome (14167676141).

The spelling of 12013345120 in words is "twelve billion, thirteen million, three hundred forty-five thousand, one hundred twenty".