10303003122000 has 320 divisors, whose sum is σ = 33768995979264. Its totient is φ = 2701937779200.

The previous prime is 10303003121959. The next prime is 10303003122019. The reversal of 10303003122000 is 22130030301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243992889 + ... + 244035111.

Almost surely, 2^{10303003122000} is an apocalyptic number.

10303003122000 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 10303003122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16884497989632).

10303003122000 is an abundant number, since it is smaller than the sum of its proper divisors (23465992857264).

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

10303003122000 is a wasteful number, since it uses less digits than its factorization.

10303003122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42923 (or 42907 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10303003122000 its reverse (22130030301), we get a palindrome (10325133152301).

The spelling of 10303003122000 in words is "ten trillion, three hundred three billion, three million, one hundred twenty-two thousand".