1141103200224 has 192 divisors, whose sum is σ = 3309419683584. Its totient is φ = 342124425216.

The previous prime is 1141103200207. The next prime is 1141103200231. The reversal of 1141103200224 is 4220023011411.

It is a super-2 number, since 2×1141103200224² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1141103200224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7486179 + ... + 7637085.

It is an arithmetic number, because the mean of its divisors is an integer number (17236560852).

Almost surely, 2^{1141103200224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141103200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654709841792).

1141103200224 is an abundant number, since it is smaller than the sum of its proper divisors (2168316483360).

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

1141103200224 is a wasteful number, since it uses less digits than its factorization.

1141103200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151089 (or 151081 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1141103200224 its reverse (4220023011411), we get a palindrome (5361126211635).

The spelling of 1141103200224 in words is "one trillion, one hundred forty-one billion, one hundred three million, two hundred thousand, two hundred twenty-four".