10233201312120 has 384 divisors, whose sum is σ = 33346933467840. Its totient is φ = 2510779514880.

The previous prime is 10233201312053. The next prime is 10233201312121. The reversal of 10233201312120 is 2121310233201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233201312121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 516479334 + ... + 516499146.

Almost surely, 2^{10233201312120} is an apocalyptic number.

10233201312120 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 10233201312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16673466733920).

10233201312120 is an abundant number, since it is smaller than the sum of its proper divisors (23113732155720).

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

10233201312120 is a wasteful number, since it uses less digits than its factorization.

10233201312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20195 (or 20174 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10233201312120 its reverse (2121310233201), we get a palindrome (12354511545321).

The spelling of 10233201312120 in words is "ten trillion, two hundred thirty-three billion, two hundred one million, three hundred twelve thousand, one hundred twenty".