1032321312000 has 864 divisors, whose sum is σ = 4162277193984. Its totient is φ = 243468288000.

The previous prime is 1032321311971. The next prime is 1032321312007. The reversal of 1032321312000 is 2131232301.

1032321312000 is a `hidden beast` number, since 1 + 0 + 32 + 321 + 312 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032321312007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117211597 + ... + 117220403.

It is an arithmetic number, because the mean of its divisors is an integer number (4817450456).

Almost surely, 2^{1032321312000} is an apocalyptic number.

1032321312000 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 1032321312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081138596992).

1032321312000 is an abundant number, since it is smaller than the sum of its proper divisors (3129955881984).

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

1032321312000 is a wasteful number, since it uses less digits than its factorization.

1032321312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8892 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1032321312000 its reverse (2131232301), we get a palindrome (1034452544301).

The spelling of 1032321312000 in words is "one trillion, thirty-two billion, three hundred twenty-one million, three hundred twelve thousand".