1200221303112 has 320 divisors, whose sum is σ = 3663702226800. Its totient is φ = 364887244800.

The previous prime is 1200221303081. The next prime is 1200221303129. The reversal of 1200221303112 is 2113031220021.

1200221303112 is a `hidden beast` number, since 1 + 200 + 22 + 130 + 311 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3415934916 + 1196805368196 = 58446^2 + 1093986^2 .

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 922536862 + ... + 922538162.

Almost surely, 2^{1200221303112} is an apocalyptic number.

1200221303112 is a gapful number since it is divisible by the number (12) 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 1200221303112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831851113400).

1200221303112 is an abundant number, since it is smaller than the sum of its proper divisors (2463480923688).

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

1200221303112 is a wasteful number, since it uses less digits than its factorization.

1200221303112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2545 counting only the distinct ones).

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

Adding to 1200221303112 its reverse (2113031220021), we get a palindrome (3313252523133).

The spelling of 1200221303112 in words is "one trillion, two hundred billion, two hundred twenty-one million, three hundred three thousand, one hundred twelve".