1820301120 has 448 divisors, whose sum is σ = 7110374400. Its totient is φ = 434718720.

The previous prime is 1820301113. The next prime is 1820301143. The reversal of 1820301120 is 211030281.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1820301093 and 1820301102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10169191 + ... + 10169369.

Almost surely, 2^1820301120 is an apocalyptic number.

1820301120 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 1820301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555187200).

1820301120 is an abundant number, since it is smaller than the sum of its proper divisors (5290073280).

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

1820301120 is a wasteful number, since it uses less digits than its factorization.

1820301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1820301120 is about 42664.9870502734. The cubic root of 1820301120 is about 1220.9964804998.

The spelling of 1820301120 in words is "one billion, eight hundred twenty million, three hundred one thousand, one hundred twenty".