1003202203200 has 168 divisors, whose sum is σ = 3313138570560. Its totient is φ = 265748736000.

The previous prime is 1003202203147. The next prime is 1003202203217. The reversal of 1003202203200 is 23022023001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1003202203200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32746 + ... + 1416854.

It is an arithmetic number, because the mean of its divisors is an integer number (19721062920).

Almost surely, 2^{1003202203200} is an apocalyptic number.

1003202203200 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 1003202203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656569285280).

1003202203200 is an abundant number, since it is smaller than the sum of its proper divisors (2309936367360).

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

1003202203200 is a wasteful number, since it uses less digits than its factorization.

1003202203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384285 (or 1384270 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1003202203200 its reverse (23022023001), we get a palindrome (1026224226201).

The spelling of 1003202203200 in words is "one trillion, three billion, two hundred two million, two hundred three thousand, two hundred".