1201102112000 has 864 divisors, whose sum is σ = 3606877965600. Its totient is φ = 397187481600.

The previous prime is 1201102111999. The next prime is 1201102112017. The reversal of 1201102112000 is 2112011021.

It can be written as a sum of positive squares in 16 ways, for example, as 980036641024 + 221065470976 = 989968^2 + 470176^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8061087926 + ... + 8061088074.

It is an arithmetic number, because the mean of its divisors is an integer number (4174627275).

Almost surely, 2^{1201102112000} is an apocalyptic number.

1201102112000 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 1201102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803438982800).

1201102112000 is an abundant number, since it is smaller than the sum of its proper divisors (2405775853600).

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

1201102112000 is an equidigital number, since it uses as much as digits as its factorization.

1201102112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1201102112000 its reverse (2112011021), we get a palindrome (1203214123021).

The spelling of 1201102112000 in words is "one trillion, two hundred one billion, one hundred two million, one hundred twelve thousand".