12001414320 has 240 divisors, whose sum is σ = 46170259200. Its totient is φ = 2736769536.

The previous prime is 12001414319. The next prime is 12001414339. The reversal of 12001414320 is 2341410021.

12001414320 is a `hidden beast` number, since 1 + 200 + 141 + 4 + 320 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12001414293 and 12001414302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351131 + ... + 2356229.

It is an arithmetic number, because the mean of its divisors is an integer number (192376080).

Almost surely, 2^12001414320 is an apocalyptic number.

12001414320 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 12001414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23085129600).

12001414320 is an abundant number, since it is smaller than the sum of its proper divisors (34168844880).

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

12001414320 is a wasteful number, since it uses less digits than its factorization.

12001414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12001414320 its reverse (2341410021), we get a palindrome (14342824341).

The spelling of 12001414320 in words is "twelve billion, one million, four hundred fourteen thousand, three hundred twenty".