10030223203200 has 2304 divisors, whose sum is σ = 41054594480640. Its totient is φ = 2318716108800.

The previous prime is 10030223203177. The next prime is 10030223203213. The reversal of 10030223203200 is 230232203001.

It is a happy number.

10030223203200 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 0 + 22 + 320 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29763273432 + ... + 29763273768.

It is an arithmetic number, because the mean of its divisors is an integer number (17818834410).

Almost surely, 2^{10030223203200} is an apocalyptic number.

10030223203200 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 10030223203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20527297240320).

10030223203200 is an abundant number, since it is smaller than the sum of its proper divisors (31024371277440).

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

10030223203200 is a wasteful number, since it uses less digits than its factorization.

10030223203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10030223203200 its reverse (230232203001), we get a palindrome (10260455406201).

The spelling of 10030223203200 in words is "ten trillion, thirty billion, two hundred twenty-three million, two hundred three thousand, two hundred".