2330003012000 has 192 divisors, whose sum is σ = 5760001787904. Its totient is φ = 926287718400.

The previous prime is 2330003011997. The next prime is 2330003012017. The reversal of 2330003012000 is 2103000332.

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 31 ways as a sum of consecutive naturals, for example, 648482204 + ... + 648485796.

It is an arithmetic number, because the mean of its divisors is an integer number (30000009312).

Almost surely, 2^{2330003012000} is an apocalyptic number.

2330003012000 is a gapful number since it is divisible by the number (20) 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 2330003012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880000893952).

2330003012000 is an abundant number, since it is smaller than the sum of its proper divisors (3429998775904).

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

2330003012000 is a wasteful number, since it uses less digits than its factorization.

2330003012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 2330003012000 its reverse (2103000332), we get a palindrome (2332106012332).

The spelling of 2330003012000 in words is "two trillion, three hundred thirty billion, three million, twelve thousand".