3000123033000 has 128 divisors (see below), whose sum is σ = 9367999280640. Its totient is φ = 799381920000.

The previous prime is 3000123032971. The next prime is 3000123033023. The reversal of 3000123033000 is 3303210003.

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

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 31 ways as a sum of consecutive naturals, for example, 3286810 + ... + 4099190.

It is an arithmetic number, because the mean of its divisors is an integer number (73187494380).

Almost surely, 2^{3000123033000} is an apocalyptic number.

3000123033000 is a gapful number since it is divisible by the number (30) 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 3000123033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683999640320).

3000123033000 is an abundant number, since it is smaller than the sum of its proper divisors (6367876247640).

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

3000123033000 is a wasteful number, since it uses less digits than its factorization.

3000123033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813636 (or 813622 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 3000123033000 its reverse (3303210003), we get a palindrome (3003426243003).

The spelling of 3000123033000 in words is "three trillion, one hundred twenty-three million, thirty-three thousand".