1003120320200 has 96 divisors (see below), whose sum is σ = 2366875176960. Its totient is φ = 395329075200.

The previous prime is 1003120320161. The next prime is 1003120320281. The reversal of 1003120320200 is 20230213001.

It is a happy number.

1003120320200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4210265 + ... + 4442135.

It is an arithmetic number, because the mean of its divisors is an integer number (24654949760).

Almost surely, 2^{1003120320200} is an apocalyptic number.

1003120320200 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 1003120320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183437588480).

1003120320200 is an abundant number, since it is smaller than the sum of its proper divisors (1363754856760).

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

1003120320200 is a wasteful number, since it uses less digits than its factorization.

1003120320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232207 (or 232198 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1003120320200 its reverse (20230213001), we get a palindrome (1023350533201).

The spelling of 1003120320200 in words is "one trillion, three billion, one hundred twenty million, three hundred twenty thousand, two hundred".