1120113333200 has 120 divisors (see below), whose sum is σ = 2859100552728. Its totient is φ = 420249763840.

The previous prime is 1120113333193. The next prime is 1120113333221. The reversal of 1120113333200 is 23333110211.

It can be written as a sum of positive squares in 12 ways, for example, as 1231729216 + 1118881603984 = 35096^2 + 1057772^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1711304 + ... + 2273496.

Almost surely, 2^{1120113333200} is an apocalyptic number.

1120113333200 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 1120113333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429550276364).

1120113333200 is an abundant number, since it is smaller than the sum of its proper divisors (1738987219528).

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

1120113333200 is a wasteful number, since it uses less digits than its factorization.

1120113333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562521 (or 562510 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1120113333200 its reverse (23333110211), we get a palindrome (1143446443411).

The spelling of 1120113333200 in words is "one trillion, one hundred twenty billion, one hundred thirteen million, three hundred thirty-three thousand, two hundred".