1002203311200 has 1728 divisors, whose sum is σ = 4273016509440. Its totient is φ = 202051584000.

The previous prime is 1002203311199. The next prime is 1002203311211. The reversal of 1002203311200 is 21133022001.

It is a super-2 number, since 2×1002203311200² (a number of 25 digits) contains 22 as substring.

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 1002203311200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3698167065 + ... + 3698167335.

It is an arithmetic number, because the mean of its divisors is an integer number (2472810480).

Almost surely, 2^{1002203311200} is an apocalyptic number.

1002203311200 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 1002203311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136508254720).

1002203311200 is an abundant number, since it is smaller than the sum of its proper divisors (3270813198240).

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

1002203311200 is a wasteful number, since it uses less digits than its factorization.

1002203311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1002203311200 its reverse (21133022001), we get a palindrome (1023336333201).

The spelling of 1002203311200 in words is "one trillion, two billion, two hundred three million, three hundred eleven thousand, two hundred".