1120141334144 has 256 divisors, whose sum is σ = 2714901719040. Its totient is φ = 450153676800.

The previous prime is 1120141334129. The next prime is 1120141334161. The reversal of 1120141334144 is 4414331410211.

It is a happy 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, 264119864 + ... + 264124104.

It is an arithmetic number, because the mean of its divisors is an integer number (10605084840).

Almost surely, 2^{1120141334144} is an apocalyptic number.

1120141334144 is a gapful number since it is divisible by the number (14) 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 1120141334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357450859520).

1120141334144 is an abundant number, since it is smaller than the sum of its proper divisors (1594760384896).

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

1120141334144 is a wasteful number, since it uses less digits than its factorization.

1120141334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 1120141334144 its reverse (4414331410211), we get a palindrome (5534472744355).

The spelling of 1120141334144 in words is "one trillion, one hundred twenty billion, one hundred forty-one million, three hundred thirty-four thousand, one hundred forty-four".