1032321223200 has 288 divisors, whose sum is σ = 3457256221440. Its totient is φ = 267361689600.

The previous prime is 1032321223147. The next prime is 1032321223243. The reversal of 1032321223200 is 23221232301.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50516985 + ... + 50537415.

It is an arithmetic number, because the mean of its divisors is an integer number (12004361880).

Almost surely, 2^{1032321223200} is an apocalyptic number.

1032321223200 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 1032321223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728628110720).

1032321223200 is an abundant number, since it is smaller than the sum of its proper divisors (2424934998240).

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

1032321223200 is a wasteful number, since it uses less digits than its factorization.

1032321223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21060 (or 21047 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1032321223200 its reverse (23221232301), we get a palindrome (1055542455501).

It can be divided in two parts, 1032321 and 223200, that added together give a palindrome (1255521).

The spelling of 1032321223200 in words is "one trillion, thirty-two billion, three hundred twenty-one million, two hundred twenty-three thousand, two hundred".