1820131120 has 40 divisors (see below), whose sum is σ = 4303541520. Its totient is φ = 715710720.

The previous prime is 1820131109. The next prime is 1820131171. The reversal of 1820131120 is 211310281.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188091 + ... + 197530.

It is an arithmetic number, because the mean of its divisors is an integer number (107588538).

Almost surely, 2^1820131120 is an apocalyptic number.

1820131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1820131120 is an abundant number, since it is smaller than the sum of its proper divisors (2483410400).

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

1820131120 is a wasteful number, since it uses less digits than its factorization.

1820131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385693 (or 385687 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1820131120 is about 42662.9947378287. The cubic root of 1820131120 is about 1220.9584692314.

The spelling of 1820131120 in words is "one billion, eight hundred twenty million, one hundred thirty-one thousand, one hundred twenty".