12120322000 has 80 divisors (see below), whose sum is σ = 29339528400. Its totient is φ = 4842739200.

The previous prime is 12120321991. The next prime is 12120322001. The reversal of 12120322000 is 22302121.

It can be written as a sum of positive squares in 8 ways, for example, as 5729278864 + 6391043136 = 75692^2 + 79944^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120322001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2135166 + ... + 2140834.

It is an arithmetic number, because the mean of its divisors is an integer number (366744105).

Almost surely, 2^12120322000 is an apocalyptic number.

12120322000 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 12120322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669764200).

12120322000 is an abundant number, since it is smaller than the sum of its proper divisors (17219206400).

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

12120322000 is a wasteful number, since it uses less digits than its factorization.

12120322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6761 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12120322000 its reverse (22302121), we get a palindrome (12142624121).

The spelling of 12120322000 in words is "twelve billion, one hundred twenty million, three hundred twenty-two thousand".