12321162720 has 240 divisors, whose sum is σ = 44984237760. Its totient is φ = 3172248576.

The previous prime is 12321162719. The next prime is 12321162727. The reversal of 12321162720 is 2726112321.

12321162720 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 11 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12321162720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321162727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359449 + ... + 392231.

It is an arithmetic number, because the mean of its divisors is an integer number (187434324).

Almost surely, 2^12321162720 is an apocalyptic number.

12321162720 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 12321162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22492118880).

12321162720 is an abundant number, since it is smaller than the sum of its proper divisors (32663075040).

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

12321162720 is a wasteful number, since it uses less digits than its factorization.

12321162720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32839 (or 32822 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12321162720 in words is "twelve billion, three hundred twenty-one million, one hundred sixty-two thousand, seven hundred twenty".