10233121013200 has 60 divisors (see below), whose sum is σ = 24712457219788. Its totient is φ = 4072039833600.

The previous prime is 10233121013179. The next prime is 10233121013209. The reversal of 10233121013200 is 231012133201.

It can be written as a sum of positive squares in 6 ways, for example, as 61690637376 + 10171430375824 = 248376^2 + 3189268^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233121013209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66199491 + ... + 66353890.

Almost surely, 2^{10233121013200} is an apocalyptic number.

10233121013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233121013200 is an abundant number, since it is smaller than the sum of its proper divisors (14479336206588).

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

10233121013200 is a wasteful number, since it uses less digits than its factorization.

10233121013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132553592 (or 132553581 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10233121013200 its reverse (231012133201), we get a palindrome (10464133146401).

The spelling of 10233121013200 in words is "ten trillion, two hundred thirty-three billion, one hundred twenty-one million, thirteen thousand, two hundred".