221032321032000 has 448 divisors, whose sum is σ = 753709312032768. Its totient is φ = 57016592640000.

The previous prime is 221032321031933. The next prime is 221032321032041. The reversal of 221032321032000 is 230123230122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1802650695 + ... + 1802773305.

It is an arithmetic number, because the mean of its divisors is an integer number (1682386857216).

Almost surely, 2^{221032321032000} is an apocalyptic number.

221032321032000 is a gapful number since it is divisible by the number (20) 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 221032321032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376854656016384).

221032321032000 is an abundant number, since it is smaller than the sum of its proper divisors (532676991000768).

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

221032321032000 is a wasteful number, since it uses less digits than its factorization.

221032321032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125095 (or 125075 counting only the distinct ones).

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

Adding to 221032321032000 its reverse (230123230122), we get a palindrome (221262444262122).

The spelling of 221032321032000 in words is "two hundred twenty-one trillion, thirty-two billion, three hundred twenty-one million, thirty-two thousand".