1130220214200 has 576 divisors, whose sum is σ = 4832960670720. Its totient is φ = 229852800000.

The previous prime is 1130220214181. The next prime is 1130220214223. The reversal of 1130220214200 is 24120220311.

It is a happy number.

1130220214200 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 220 + 21 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6427450 + ... + 6600950.

It is an arithmetic number, because the mean of its divisors is an integer number (8390556720).

Almost surely, 2^{1130220214200} is an apocalyptic number.

1130220214200 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 1130220214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416480335360).

1130220214200 is an abundant number, since it is smaller than the sum of its proper divisors (3702740456520).

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

1130220214200 is a wasteful number, since it uses less digits than its factorization.

1130220214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173588 (or 173576 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1130220214200 its reverse (24120220311), we get a palindrome (1154340434511).

The spelling of 1130220214200 in words is "one trillion, one hundred thirty billion, two hundred twenty million, two hundred fourteen thousand, two hundred".