1144221410200 has 96 divisors (see below), whose sum is σ = 2906305524720. Its totient is φ = 415486400000.

The previous prime is 1144221410119. The next prime is 1144221410221. The reversal of 1144221410200 is 20141224411.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 23 ways as a sum of consecutive naturals, for example, 1171230 + ... + 1913170.

Almost surely, 2^{1144221410200} is an apocalyptic number.

1144221410200 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 1144221410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453152762360).

1144221410200 is an abundant number, since it is smaller than the sum of its proper divisors (1762084114520).

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

1144221410200 is a wasteful number, since it uses less digits than its factorization.

1144221410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742669 (or 742660 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1144221410200 its reverse (20141224411), we get a palindrome (1164362634611).

The spelling of 1144221410200 in words is "one trillion, one hundred forty-four billion, two hundred twenty-one million, four hundred ten thousand, two hundred".