12011321322000 has 3840 divisors, whose sum is σ = 59335482286080. Its totient is φ = 2184247296000.

The previous prime is 12011321321983. The next prime is 12011321322023. The reversal of 12011321322000 is 22312311021.

12011321322000 is a `hidden beast` number, since 1 + 20 + 1 + 1 + 321 + 322 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 28666637791 + ... + 28666638209.

It is an arithmetic number, because the mean of its divisors is an integer number (15451948512).

Almost surely, 2^{12011321322000} is an apocalyptic number.

12011321322000 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 12011321322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29667741143040).

12011321322000 is an abundant number, since it is smaller than the sum of its proper divisors (47324160964080).

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

12011321322000 is a wasteful number, since it uses less digits than its factorization.

12011321322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12011321322000 its reverse (22312311021), we get a palindrome (12033633633021).

It can be divided in two parts, 12011321 and 322000, that added together give a palindrome (12333321).

The spelling of 12011321322000 in words is "twelve trillion, eleven billion, three hundred twenty-one million, three hundred twenty-two thousand".