1032011023200 has 288 divisors, whose sum is σ = 3413373030144. Its totient is φ = 270774282240.

The previous prime is 1032011023193. The next prime is 1032011023237. The reversal of 1032011023200 is 23201102301.

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 1032011023200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155490282 + ... + 155496918.

It is an arithmetic number, because the mean of its divisors is an integer number (11851989688).

Almost surely, 2^{1032011023200} is an apocalyptic number.

1032011023200 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 1032011023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706686515072).

1032011023200 is an abundant number, since it is smaller than the sum of its proper divisors (2381362006944).

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

1032011023200 is a wasteful number, since it uses less digits than its factorization.

1032011023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694 (or 7681 counting only the distinct ones).

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

Adding to 1032011023200 its reverse (23201102301), we get a palindrome (1055212125501).

The spelling of 1032011023200 in words is "one trillion, thirty-two billion, eleven million, twenty-three thousand, two hundred".