12011331123000 has 384 divisors, whose sum is σ = 44299334289600. Its totient is φ = 2911161984000.

The previous prime is 12011331122971. The next prime is 12011331123101. The reversal of 12011331123000 is 32113311021.

12011331123000 is a `hidden beast` number, since 1 + 20 + 1 + 1 + 331 + 12 + 300 + 0 = 666.

It is a super-2 number, since 2×12011331123000² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525579574 + ... + 525602426.

Almost surely, 2^{12011331123000} is an apocalyptic number.

12011331123000 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 12011331123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22149667144800).

12011331123000 is an abundant number, since it is smaller than the sum of its proper divisors (32288003166600).

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

12011331123000 is a wasteful number, since it uses less digits than its factorization.

12011331123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28200 (or 28183 counting only the distinct ones).

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

Adding to 12011331123000 its reverse (32113311021), we get a palindrome (12043444434021).

The spelling of 12011331123000 in words is "twelve trillion, eleven billion, three hundred thirty-one million, one hundred twenty-three thousand".