1032011003200 has 84 divisors (see below), whose sum is σ = 2688768150012. Its totient is φ = 388521779200.

The previous prime is 1032011003171. The next prime is 1032011003207. The reversal of 1032011003200 is 23001102301.

It can be written as a sum of positive squares in 6 ways, for example, as 131455554624 + 900555448576 = 362568^2 + 948976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032011003207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18943591 + ... + 18997990.

It is an arithmetic number, because the mean of its divisors is an integer number (32009144643).

Almost surely, 2^{1032011003200} is an apocalyptic number.

1032011003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032011003200 is an abundant number, since it is smaller than the sum of its proper divisors (1656757146812).

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

1032011003200 is a wasteful number, since it uses less digits than its factorization.

1032011003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37941620 (or 37941605 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1032011003200 its reverse (23001102301), we get a palindrome (1055012105501).

The spelling of 1032011003200 in words is "one trillion, thirty-two billion, eleven million, three thousand, two hundred".