12001300020000 has 360 divisors, whose sum is σ = 43799871551436. Its totient is φ = 3113849088000.

The previous prime is 12001300019993. The next prime is 12001300020011. The reversal of 12001300020000 is 2000310021.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 766388190096 + 11234911829904 = 875436^2 + 3351852^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5759002 + ... + 7560998.

Almost surely, 2^{12001300020000} is an apocalyptic number.

12001300020000 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 12001300020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21899935775718).

12001300020000 is an abundant number, since it is smaller than the sum of its proper divisors (31798571531436).

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

12001300020000 is a wasteful number, since it uses less digits than its factorization.

12001300020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802070 (or 1802044 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12001300020000 its reverse (2000310021), we get a palindrome (12003300330021).

The spelling of 12001300020000 in words is "twelve trillion, one billion, three hundred million, twenty thousand".