1141540120 has 64 divisors (see below), whose sum is σ = 2942334720. Its totient is φ = 390459264.

The previous prime is 1141540091. The next prime is 1141540151. The reversal of 1141540120 is 210451411.

It is a super-2 number, since 2×1141540120² = 2606227691139228800, which contains 22 as substring.

It is a congruent number.

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, 119439 + ... + 128641.

It is an arithmetic number, because the mean of its divisors is an integer number (45973980).

Almost surely, 2^1141540120 is an apocalyptic number.

1141540120 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 1141540120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471167360).

1141540120 is an abundant number, since it is smaller than the sum of its proper divisors (1800794600).

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

1141540120 is a wasteful number, since it uses less digits than its factorization.

1141540120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9664 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1141540120 is about 33786.6855432728. The cubic root of 1141540120 is about 1045.1141470055.

Adding to 1141540120 its reverse (210451411), we get a palindrome (1351991531).

The spelling of 1141540120 in words is "one billion, one hundred forty-one million, five hundred forty thousand, one hundred twenty".