1130141303200 has 288 divisors, whose sum is σ = 3543281715456. Its totient is φ = 342119669760.

The previous prime is 1130141303183. The next prime is 1130141303251. The reversal of 1130141303200 is 23031410311.

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, 1336924 + ... + 2011876.

It is an arithmetic number, because the mean of its divisors is an integer number (12303061512).

Almost surely, 2^{1130141303200} is an apocalyptic number.

1130141303200 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 1130141303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771640857728).

1130141303200 is an abundant number, since it is smaller than the sum of its proper divisors (2413140412256).

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

1130141303200 is a wasteful number, since it uses less digits than its factorization.

1130141303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675016 (or 675003 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1130141303200 its reverse (23031410311), we get a palindrome (1153172713511).

It can be divided in two parts, 1130141 and 303200, that added together give a palindrome (1433341).

The spelling of 1130141303200 in words is "one trillion, one hundred thirty billion, one hundred forty-one million, three hundred three thousand, two hundred".