1020003123200 has 96 divisors (see below), whose sum is σ = 2529571178370. Its totient is φ = 408000921600.

The previous prime is 1020003123199. The next prime is 1020003123229. The reversal of 1020003123200 is 23213000201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 461790920704 + 558212202496 = 679552^2 + 747136^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 196640 + ... + 1441760.

Almost surely, 2^{1020003123200} is an apocalyptic number.

1020003123200 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 1020003123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264785589185).

1020003123200 is an abundant number, since it is smaller than the sum of its proper divisors (1509568055170).

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

1020003123200 is an frugal number, since it uses more digits than its factorization.

1020003123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245161 (or 1245128 counting only the distinct ones).

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

Adding to 1020003123200 its reverse (23213000201), we get a palindrome (1043216123401).

The spelling of 1020003123200 in words is "one trillion, twenty billion, three million, one hundred twenty-three thousand, two hundred".