12031133310000 has 500 divisors, whose sum is σ = 49729234013712. Its totient is φ = 2749972032000.

The previous prime is 12031133309927. The next prime is 12031133310013. The reversal of 12031133310000 is 1333113021.

It is a happy number.

12031133310000 is a `hidden beast` number, since 1 + 20 + 311 + 3 + 331 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-2 number, since 2×12031133310000² (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 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 99 ways as a sum of consecutive naturals, for example, 4609054 + ... + 6730946.

Almost surely, 2^{12031133310000} is an apocalyptic number.

12031133310000 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 12031133310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24864617006856).

12031133310000 is an abundant number, since it is smaller than the sum of its proper divisors (37698100703712).

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

12031133310000 is an equidigital number, since it uses as much as digits as its factorization.

12031133310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121940 (or 2121910 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12031133310000 its reverse (1333113021), we get a palindrome (12032466423021).

The spelling of 12031133310000 in words is "twelve trillion, thirty-one billion, one hundred thirty-three million, three hundred ten thousand".