1144024322100 has 144 divisors (see below), whose sum is σ = 3611715502080. Its totient is φ = 277280956800.

The previous prime is 1144024322093. The next prime is 1144024322123. The reversal of 1144024322100 is 12234204411.

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 47 ways as a sum of consecutive naturals, for example, 16858839 + ... + 16926561.

Almost surely, 2^{1144024322100} is an apocalyptic number.

1144024322100 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 1144024322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805857751040).

1144024322100 is an abundant number, since it is smaller than the sum of its proper divisors (2467691179980).

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

1144024322100 is a wasteful number, since it uses less digits than its factorization.

1144024322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72870 (or 72863 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1144024322100 its reverse (12234204411), we get a palindrome (1156258526511).

The spelling of 1144024322100 in words is "one trillion, one hundred forty-four billion, twenty-four million, three hundred twenty-two thousand, one hundred".