1200311112000 has 1792 divisors, whose sum is σ = 5636472791040. Its totient is φ = 216612864000.

The previous prime is 1200311111981. The next prime is 1200311112067. The reversal of 1200311112000 is 2111130021.

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 255 ways as a sum of consecutive naturals, for example, 408406531 + ... + 408409469.

It is an arithmetic number, because the mean of its divisors is an integer number (3145353120).

Almost surely, 2^{1200311112000} is an apocalyptic number.

1200311112000 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 1200311112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818236395520).

1200311112000 is an abundant number, since it is smaller than the sum of its proper divisors (4436161679040).

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

1200311112000 is a wasteful number, since it uses less digits than its factorization.

1200311112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 2997 counting only the distinct ones).

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

Adding to 1200311112000 its reverse (2111130021), we get a palindrome (1202422242021).

The spelling of 1200311112000 in words is "one trillion, two hundred billion, three hundred eleven million, one hundred twelve thousand".