1130404120 has 128 divisors (see below), whose sum is σ = 2762812800. Its totient is φ = 414720000.

The previous prime is 1130404117. The next prime is 1130404123. The reversal of 1130404120 is 214040311.

It is an interprime number because it is at equal distance from previous prime (1130404117) and next prime (1130404123).

It is a super-3 number, since 3×1130404120³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130404094 and 1130404103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130404123) 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 31 ways as a sum of consecutive naturals, for example, 7486045 + ... + 7486195.

It is an arithmetic number, because the mean of its divisors is an integer number (21584475).

Almost surely, 2^1130404120 is an apocalyptic number.

1130404120 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 1130404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381406400).

1130404120 is an abundant number, since it is smaller than the sum of its proper divisors (1632408680).

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

1130404120 is a wasteful number, since it uses less digits than its factorization.

1130404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1130404120 is about 33621.4830130974. The cubic root of 1130404120 is about 1041.7045887279.

Adding to 1130404120 its reverse (214040311), we get a palindrome (1344444431).

The spelling of 1130404120 in words is "one billion, one hundred thirty million, four hundred four thousand, one hundred twenty".