1032323252000 has 192 divisors, whose sum is σ = 2600882470368. Its totient is φ = 402554880000.

The previous prime is 1032323251957. The next prime is 1032323252029. The reversal of 1032323252000 is 2523232301.

It can be written as a sum of positive squares in 16 ways, for example, as 555996905104 + 476326346896 = 745652^2 + 690164^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27553280 + ... + 27590720.

Almost surely, 2^{1032323252000} is an apocalyptic number.

1032323252000 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 1032323252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300441235184).

1032323252000 is an abundant number, since it is smaller than the sum of its proper divisors (1568559218368).

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

1032323252000 is a wasteful number, since it uses less digits than its factorization.

1032323252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37640 (or 37622 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 1032323252000 its reverse (2523232301), we get a palindrome (1034846484301).

The spelling of 1032323252000 in words is "one trillion, thirty-two billion, three hundred twenty-three million, two hundred fifty-two thousand".