1141051120 has 40 divisors (see below), whose sum is σ = 2894122800. Its totient is φ = 414927360.

The previous prime is 1141051117. The next prime is 1141051123. The reversal of 1141051120 is 211501411.

It is an interprime number because it is at equal distance from previous prime (1141051117) and next prime (1141051123).

It is a tau number, because it is divible by the number of its divisors (40).

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 = 1141051094 and 1141051103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141051123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 647445 + ... + 649204.

It is an arithmetic number, because the mean of its divisors is an integer number (72353070).

Almost surely, 2^1141051120 is an apocalyptic number.

1141051120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141051120 is an abundant number, since it is smaller than the sum of its proper divisors (1753071680).

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

1141051120 is a wasteful number, since it uses less digits than its factorization.

1141051120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296673 (or 1296667 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 1141051120 is about 33779.4481896907. The cubic root of 1141051120 is about 1044.9648943130.

Adding to 1141051120 its reverse (211501411), we get a palindrome (1352552531).

The spelling of 1141051120 in words is "one billion, one hundred forty-one million, fifty-one thousand, one hundred twenty".