10322401200 has 60 divisors (see below), whose sum is σ = 33066095688. Its totient is φ = 2752640000.

The previous prime is 10322401153. The next prime is 10322401213. The reversal of 10322401200 is 210422301.

10322401200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10322401200² (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 10322401200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4299801 + ... + 4302200.

Almost surely, 2^10322401200 is an apocalyptic number.

10322401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10322401200 is an abundant number, since it is smaller than the sum of its proper divisors (22743694488).

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

10322401200 is a wasteful number, since it uses less digits than its factorization.

10322401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602022 (or 8602011 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10322401200 its reverse (210422301), we get a palindrome (10532823501).

The spelling of 10322401200 in words is "ten billion, three hundred twenty-two million, four hundred one thousand, two hundred".