12321011331000 has 160 divisors (see below), whose sum is σ = 43068779891280. Its totient is φ = 3285603000000.

The previous prime is 12321011330869. The next prime is 12321011331011. The reversal of 12321011331000 is 13311012321.

12321011331000 is a `hidden beast` number, since 1 + 2 + 321 + 0 + 11 + 331 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×12321011331000³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75974626 + ... + 76136625.

Almost surely, 2^{12321011331000} is an apocalyptic number.

12321011331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12321011331000 is an abundant number, since it is smaller than the sum of its proper divisors (30747768560280).

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

12321011331000 is a wasteful number, since it uses less digits than its factorization.

12321011331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152111284 (or 152111261 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12321011331000 its reverse (13311012321), we get a palindrome (12334322343321).

The spelling of 12321011331000 in words is "twelve trillion, three hundred twenty-one billion, eleven million, three hundred thirty-one thousand".