1120011187200 has 528 divisors, whose sum is σ = 3766238945280. Its totient is φ = 293500846080.

The previous prime is 1120011187193. The next prime is 1120011187213. The reversal of 1120011187200 is 27811100211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2226662149 + ... + 2226662651.

Almost surely, 2^{1120011187200} is an apocalyptic number.

1120011187200 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 1120011187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883119472640).

1120011187200 is an abundant number, since it is smaller than the sum of its proper divisors (2646227758080).

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

1120011187200 is a wasteful number, since it uses less digits than its factorization.

1120011187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 24.

Adding to 1120011187200 its reverse (27811100211), we get a palindrome (1147822287411).

The spelling of 1120011187200 in words is "one trillion, one hundred twenty billion, eleven million, one hundred eighty-seven thousand, two hundred".