12000001122000 has 400 divisors, whose sum is σ = 43675847227584. Its totient is φ = 3175567200000.

The previous prime is 12000001121971. The next prime is 12000001122019. The reversal of 12000001122000 is 22110000021.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20939275 + ... + 21504725.

Almost surely, 2^{12000001122000} is an apocalyptic number.

12000001122000 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 12000001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21837923613792).

12000001122000 is an abundant number, since it is smaller than the sum of its proper divisors (31675846105584).

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

12000001122000 is a wasteful number, since it uses less digits than its factorization.

12000001122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565617 (or 565592 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000001122000 its reverse (22110000021), we get a palindrome (12022111122021).

The spelling of 12000001122000 in words is "twelve trillion, one million, one hundred twenty-two thousand".