221120322132000 has 768 divisors, whose sum is σ = 736821537693696. Its totient is φ = 57963548160000.

The previous prime is 221120322131923. The next prime is 221120322132043. The reversal of 221120322132000 is 231223021122.

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, 127007651130 + ... + 127007652870.

It is an arithmetic number, because the mean of its divisors is an integer number (959403043872).

Almost surely, 2^{221120322132000} is an apocalyptic number.

221120322132000 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 221120322132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368410768846848).

221120322132000 is an abundant number, since it is smaller than the sum of its proper divisors (515701215561696).

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

221120322132000 is a wasteful number, since it uses less digits than its factorization.

221120322132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 221120322132000 its reverse (231223021122), we get a palindrome (221351545153122).

The spelling of 221120322132000 in words is "two hundred twenty-one trillion, one hundred twenty billion, three hundred twenty-two million, one hundred thirty-two thousand".