10003012200000 has 252 divisors, whose sum is σ = 35837498167380. Its totient is φ = 2667469440000.

The previous prime is 10003012199927. The next prime is 10003012200007. The reversal of 10003012200000 is 221030001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8827886822976 + 1175125377024 = 2971176^2 + 1084032^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10003012200007) 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, 978615 + ... + 4578614.

It is an arithmetic number, because the mean of its divisors is an integer number (142212294315).

Almost surely, 2^{10003012200000} is an apocalyptic number.

10003012200000 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 10003012200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17918749083690).

10003012200000 is an abundant number, since it is smaller than the sum of its proper divisors (25834485967380).

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

10003012200000 is an frugal number, since it uses more digits than its factorization.

10003012200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557272 (or 5557239 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10003012200000 its reverse (221030001), we get a palindrome (10003233230001).

The spelling of 10003012200000 in words is "ten trillion, three billion, twelve million, two hundred thousand".