10223033013200 has 180 divisors, whose sum is σ = 28594046238912. Its totient is φ = 3502184313600.

The previous prime is 10223033013197. The next prime is 10223033013209. The reversal of 10223033013200 is 231033032201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223033013209) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 23915747 + ... + 24339453.

Almost surely, 2^{10223033013200} is an apocalyptic number.

10223033013200 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 10223033013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14297023119456).

10223033013200 is an abundant number, since it is smaller than the sum of its proper divisors (18371013225712).

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

10223033013200 is a wasteful number, since it uses less digits than its factorization.

10223033013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424970 (or 424952 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10223033013200 its reverse (231033032201), we get a palindrome (10454066045401).

The spelling of 10223033013200 in words is "ten trillion, two hundred twenty-three billion, thirty-three million, thirteen thousand, two hundred".