1131042120 has 128 divisors (see below), whose sum is σ = 3665692800. Its totient is φ = 277530624.

The previous prime is 1131042091. The next prime is 1131042149. The reversal of 1131042120 is 212401311.

It is an interprime number because it is at equal distance from previous prime (1131042091) and next prime (1131042149).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1131042120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590284 + ... + 592196.

It is an arithmetic number, because the mean of its divisors is an integer number (28638225).

Almost surely, 2^1131042120 is an apocalyptic number.

1131042120 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 1131042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832846400).

1131042120 is an abundant number, since it is smaller than the sum of its proper divisors (2534650680).

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

1131042120 is a wasteful number, since it uses less digits than its factorization.

1131042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1131042120 is about 33630.9696559585. The cubic root of 1131042120 is about 1041.9005311996.

Adding to 1131042120 its reverse (212401311), we get a palindrome (1343443431).

The spelling of 1131042120 in words is "one billion, one hundred thirty-one million, forty-two thousand, one hundred twenty".