10330012000 has 288 divisors, whose sum is σ = 31893825600. Its totient is φ = 3218688000.

The previous prime is 10330011997. The next prime is 10330012001. The reversal of 10330012000 is 21003301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330012001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3386476 + ... + 3389524.

It is an arithmetic number, because the mean of its divisors is an integer number (110742450).

Almost surely, 2^10330012000 is an apocalyptic number.

10330012000 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 10330012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946912800).

10330012000 is an abundant number, since it is smaller than the sum of its proper divisors (21563813600).

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

10330012000 is a wasteful number, since it uses less digits than its factorization.

10330012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10330012000 its reverse (21003301), we get a palindrome (10351015301).

The spelling of 10330012000 in words is "ten billion, three hundred thirty million, twelve thousand".