1141141120 has 128 divisors (see below), whose sum is σ = 3149303040. Its totient is φ = 387293184.

The previous prime is 1141141109. The next prime is 1141141139. The reversal of 1141141120 is 211411411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1141141094 and 1141141103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460204 + ... + 462676.

It is an arithmetic number, because the mean of its divisors is an integer number (24603930).

Almost surely, 2^1141141120 is an apocalyptic number.

1141141120 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 1141141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574651520).

1141141120 is an abundant number, since it is smaller than the sum of its proper divisors (2008161920).

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

1141141120 is a wasteful number, since it uses less digits than its factorization.

1141141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 1141141120 is about 33780.7803343854. The cubic root of 1141141120 is about 1044.9923673351.

Adding to 1141141120 its reverse (211411411), we get a palindrome (1352552531).

The spelling of 1141141120 in words is "one billion, one hundred forty-one million, one hundred forty-one thousand, one hundred twenty".