1120200123200 has 84 divisors (see below), whose sum is σ = 2760891407340. Its totient is φ = 447348695040.

The previous prime is 1120200123187. The next prime is 1120200123227. The reversal of 1120200123200 is 23210020211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 233258089024 + 886942034176 = 482968^2 + 941776^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409736 + ... + 1551864.

Almost surely, 2^{1120200123200} is an apocalyptic number.

1120200123200 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 1120200123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380445703670).

1120200123200 is an abundant number, since it is smaller than the sum of its proper divisors (1640691284140).

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

1120200123200 is a wasteful number, since it uses less digits than its factorization.

1120200123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142764 (or 1142749 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1120200123200 its reverse (23210020211), we get a palindrome (1143410143411).

The spelling of 1120200123200 in words is "one trillion, one hundred twenty billion, two hundred million, one hundred twenty-three thousand, two hundred".