10403201200 has 120 divisors (see below), whose sum is σ = 29336516192. Its totient is φ = 3470376960.

The previous prime is 10403201177. The next prime is 10403201201. The reversal of 10403201200 is 210230401.

It is not an unprimeable number, because it can be changed into a prime (10403201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53392 + ... + 153808.

Almost surely, 2^10403201200 is an apocalyptic number.

10403201200 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 10403201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14668258096).

10403201200 is an abundant number, since it is smaller than the sum of its proper divisors (18933314992).

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

10403201200 is a wasteful number, since it uses less digits than its factorization.

10403201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100479 (or 100468 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10403201200 its reverse (210230401), we get a palindrome (10613431601).

The spelling of 10403201200 in words is "ten billion, four hundred three million, two hundred one thousand, two hundred".