10033123200 has 96 divisors (see below), whose sum is σ = 33046631160. Its totient is φ = 2675496960.

The previous prime is 10033123187. The next prime is 10033123207. The reversal of 10033123200 is 232133001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10033123200² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10033123200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033123207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 512959 + ... + 532158.

Almost surely, 2^10033123200 is an apocalyptic number.

10033123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033123200 is an abundant number, since it is smaller than the sum of its proper divisors (23013507960).

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

10033123200 is a wasteful number, since it uses less digits than its factorization.

10033123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045144 (or 1045127 counting only the distinct ones).

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

Adding to 10033123200 its reverse (232133001), we get a palindrome (10265256201).

The spelling of 10033123200 in words is "ten billion, thirty-three million, one hundred twenty-three thousand, two hundred".