10000330124000 has 96 divisors (see below), whose sum is σ = 24584797036800. Its totient is φ = 3997855142400.

The previous prime is 10000330123981. The next prime is 10000330124003. The reversal of 10000330124000 is 42103300001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000330124003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6325346 + ... + 7746654.

It is an arithmetic number, because the mean of its divisors is an integer number (256091635800).

Almost surely, 2^{10000330124000} is an apocalyptic number.

10000330124000 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 10000330124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292398518400).

10000330124000 is an abundant number, since it is smaller than the sum of its proper divisors (14584466912800).

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

10000330124000 is a wasteful number, since it uses less digits than its factorization.

10000330124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423093 (or 1423075 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10000330124000 its reverse (42103300001), we get a palindrome (10042433424001).

The spelling of 10000330124000 in words is "ten trillion, three hundred thirty million, one hundred twenty-four thousand".