1830373120000 has 480 divisors, whose sum is σ = 4838741107200. Its totient is φ = 690573312000.

The previous prime is 1830373119961. The next prime is 1830373120013. The reversal of 1830373120000 is 213730381.

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 39 ways as a sum of consecutive naturals, for example, 2325759607 + ... + 2325760393.

It is an arithmetic number, because the mean of its divisors is an integer number (10080710640).

Almost surely, 2^{1830373120000} is an apocalyptic number.

1830373120000 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 1830373120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419370553600).

1830373120000 is an abundant number, since it is smaller than the sum of its proper divisors (3008367987200).

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

1830373120000 is an frugal number, since it uses more digits than its factorization.

1830373120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 1830373120000 its reverse (213730381), we get a palindrome (1830586850381).

The spelling of 1830373120000 in words is "one trillion, eight hundred thirty billion, three hundred seventy-three million, one hundred twenty thousand".