12331011000 has 256 divisors, whose sum is σ = 47966929920. Its totient is φ = 2562240000.

The previous prime is 12331010929. The next prime is 12331011037. The reversal of 12331011000 is 11013321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204310 + ... + 257690.

It is an arithmetic number, because the mean of its divisors is an integer number (187370820).

Almost surely, 2^12331011000 is an apocalyptic number.

12331011000 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 12331011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23983464960).

12331011000 is an abundant number, since it is smaller than the sum of its proper divisors (35635918920).

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

12331011000 is a wasteful number, since it uses less digits than its factorization.

12331011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53423 (or 53409 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12331011000 its reverse (11013321), we get a palindrome (12342024321).

The spelling of 12331011000 in words is "twelve billion, three hundred thirty-one million, eleven thousand".