3000024021000 has 256 divisors, whose sum is σ = 9770405898240. Its totient is φ = 764959430400.

The previous prime is 3000024020999. The next prime is 3000024021031. The reversal of 3000024021000 is 1204200003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270681459 + ... + 270692541.

It is an arithmetic number, because the mean of its divisors is an integer number (38165648040).

Almost surely, 2^{3000024021000} is an apocalyptic number.

3000024021000 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 3000024021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885202949120).

3000024021000 is an abundant number, since it is smaller than the sum of its proper divisors (6770381877240).

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

3000024021000 is a wasteful number, since it uses less digits than its factorization.

3000024021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15053 (or 15039 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 3000024021000 its reverse (1204200003), we get a palindrome (3001228221003).

The spelling of 3000024021000 in words is "three trillion, twenty-four million, twenty-one thousand".