1130133001200 has 480 divisors, whose sum is σ = 4232520768000. Its totient is φ = 257660282880.

The previous prime is 1130133001183. The next prime is 1130133001219. The reversal of 1130133001200 is 21003310311.

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 1130133001200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172457124 + ... + 172463676.

It is an arithmetic number, because the mean of its divisors is an integer number (8817751600).

Almost surely, 2^{1130133001200} is an apocalyptic number.

1130133001200 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 1130133001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116260384000).

1130133001200 is an abundant number, since it is smaller than the sum of its proper divisors (3102387766800).

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

1130133001200 is a wasteful number, since it uses less digits than its factorization.

1130133001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014 (or 6989 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1130133001200 its reverse (21003310311), we get a palindrome (1151136311511).

The spelling of 1130133001200 in words is "one trillion, one hundred thirty billion, one hundred thirty-three million, one thousand, two hundred".