12012331122000 has 960 divisors, whose sum is σ = 46344945733632. Its totient is φ = 2875616640000.

The previous prime is 12012331121981. The next prime is 12012331122031. The reversal of 12012331122000 is 22113321021.

12012331122000 is a `hidden beast` number, since 1 + 201 + 233 + 11 + 220 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 10258181415 + ... + 10258182585.

Almost surely, 2^{12012331122000} is an apocalyptic number.

12012331122000 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 12012331122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23172472866816).

12012331122000 is an abundant number, since it is smaller than the sum of its proper divisors (34332614611632).

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

12012331122000 is a wasteful number, since it uses less digits than its factorization.

12012331122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1798 counting only the distinct ones).

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

Adding to 12012331122000 its reverse (22113321021), we get a palindrome (12034444443021).

The spelling of 12012331122000 in words is "twelve trillion, twelve billion, three hundred thirty-one million, one hundred twenty-two thousand".