10032003322000 has 160 divisors (see below), whose sum is σ = 26466426290304. Its totient is φ = 3647473856000.

The previous prime is 10032003321959. The next prime is 10032003322001. The reversal of 10032003322000 is 22330023001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10032003322001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172736967 + ... + 172795033.

Almost surely, 2^{10032003322000} is an apocalyptic number.

10032003322000 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 10032003322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13233213145152).

10032003322000 is an abundant number, since it is smaller than the sum of its proper divisors (16434422968304).

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

10032003322000 is a wasteful number, since it uses less digits than its factorization.

10032003322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65954 (or 65938 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10032003322000 its reverse (22330023001), we get a palindrome (10054333345001).

The spelling of 10032003322000 in words is "ten trillion, thirty-two billion, three million, three hundred twenty-two thousand".