221232332332000 has 768 divisors, whose sum is σ = 610789223116800. Its totient is φ = 78072268800000.

The previous prime is 221232332331949. The next prime is 221232332332019. The reversal of 221232332332000 is 233233232122.

It is a happy number.

221232332332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221232332332000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107238162969 + ... + 107238165031.

It is an arithmetic number, because the mean of its divisors is an integer number (795298467600).

Almost surely, 2^{221232332332000} is an apocalyptic number.

221232332332000 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 221232332332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305394611558400).

221232332332000 is an abundant number, since it is smaller than the sum of its proper divisors (389556890784800).

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

221232332332000 is a wasteful number, since it uses less digits than its factorization.

221232332332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 221232332332000 its reverse (233233232122), we get a palindrome (221465565564122).

The spelling of 221232332332000 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, three hundred thirty-two million, three hundred thirty-two thousand".