1144123203120 has 160 divisors (see below), whose sum is σ = 3557997434304. Its totient is φ = 304136294400.

The previous prime is 1144123203107. The next prime is 1144123203127. The reversal of 1144123203120 is 213023214411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1144123203127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 106593274 + ... + 106604006.

Almost surely, 2^{1144123203120} is an apocalyptic number.

1144123203120 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 1144123203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778998717152).

1144123203120 is an abundant number, since it is smaller than the sum of its proper divisors (2413874231184).

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

1144123203120 is a wasteful number, since it uses less digits than its factorization.

1144123203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12111 (or 12105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1144123203120 its reverse (213023214411), we get a palindrome (1357146417531).

The spelling of 1144123203120 in words is "one trillion, one hundred forty-four billion, one hundred twenty-three million, two hundred three thousand, one hundred twenty".