1100225143200 has 432 divisors, whose sum is σ = 3687843025440. Its totient is φ = 284894177280.

The previous prime is 1100225143187. The next prime is 1100225143217. The reversal of 1100225143200 is 23415220011.

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 71 ways as a sum of consecutive naturals, for example, 736921654 + ... + 736923146.

It is an arithmetic number, because the mean of its divisors is an integer number (8536673670).

Almost surely, 2^{1100225143200} is an apocalyptic number.

1100225143200 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 1100225143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843921512720).

1100225143200 is an abundant number, since it is smaller than the sum of its proper divisors (2587617882240).

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

1100225143200 is a wasteful number, since it uses less digits than its factorization.

1100225143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 1100225143200 in words is "one trillion, one hundred billion, two hundred twenty-five million, one hundred forty-three thousand, two hundred".