10220332003200 has 288 divisors, whose sum is σ = 39783804957000. Its totient is φ = 2477656166400.

The previous prime is 10220332003169. The next prime is 10220332003237. The reversal of 10220332003200 is 230023302201.

It is a happy number.

10220332003200 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 3 + 320 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15813775 + ... + 16447374.

Almost surely, 2^{10220332003200} is an apocalyptic number.

10220332003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220332003200 is an abundant number, since it is smaller than the sum of its proper divisors (29563472953800).

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

10220332003200 is a wasteful number, since it uses less digits than its factorization.

10220332003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32261190 (or 32261170 counting only the distinct ones).

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

Adding to 10220332003200 its reverse (230023302201), we get a palindrome (10450355305401).

The spelling of 10220332003200 in words is "ten trillion, two hundred twenty billion, three hundred thirty-two million, three thousand, two hundred".