10003123200 has 528 divisors, whose sum is σ = 39475330560. Its totient is φ = 2184314880.

The previous prime is 10003123171. The next prime is 10003123201. The reversal of 10003123200 is 232130001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10003123201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12364396 + ... + 12365204.

Almost surely, 2^10003123200 is an apocalyptic number.

10003123200 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 10003123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19737665280).

10003123200 is an abundant number, since it is smaller than the sum of its proper divisors (29472207360).

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

10003123200 is a wasteful number, since it uses less digits than its factorization.

10003123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10003123200 its reverse (232130001), we get a palindrome (10235253201).

The spelling of 10003123200 in words is "ten billion, three million, one hundred twenty-three thousand, two hundred".