1028202001200 has 720 divisors, whose sum is σ = 4234393564800. Its totient is φ = 236136384000.

The previous prime is 1028202001193. The next prime is 1028202001201. The reversal of 1028202001200 is 21002028201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1028202001201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24808495 + ... + 24849905.

Almost surely, 2^{1028202001200} is an apocalyptic number.

1028202001200 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 1028202001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117196782400).

1028202001200 is an abundant number, since it is smaller than the sum of its proper divisors (3206191563600).

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

1028202001200 is a wasteful number, since it uses less digits than its factorization.

1028202001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41479 (or 41451 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1028202001200 its reverse (21002028201), we get a palindrome (1049204029401).

The spelling of 1028202001200 in words is "one trillion, twenty-eight billion, two hundred two million, one thousand, two hundred".