1133100211200 has 528 divisors, whose sum is σ = 4002798518784. Its totient is φ = 281693388800.

The previous prime is 1133100211163. The next prime is 1133100211231. The reversal of 1133100211200 is 21120013311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1133100211200.

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 47 ways as a sum of consecutive naturals, for example, 139695145 + ... + 139703255.

Almost surely, 2^{1133100211200} is an apocalyptic number.

1133100211200 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 1133100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001399259392).

1133100211200 is an abundant number, since it is smaller than the sum of its proper divisors (2869698307584).

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

1133100211200 is a wasteful number, since it uses less digits than its factorization.

1133100211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1133100211200 its reverse (21120013311), we get a palindrome (1154220224511).

The spelling of 1133100211200 in words is "one trillion, one hundred thirty-three billion, one hundred million, two hundred eleven thousand, two hundred".