232122321221220 has 144 divisors (see below), whose sum is σ = 706080856873392. Its totient is φ = 61725570739200.

The previous prime is 232122321221179. The next prime is 232122321221291. The reversal of 232122321221220 is 22122123221232.

232122321221220 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 223 + 212 + 2 + 1 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21710586129444 + 210411735091776 = 4659462^2 + 14505576^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543687754 + ... + 544114526.

It is an arithmetic number, because the mean of its divisors is an integer number (4903339283843).

Almost surely, 2^{232122321221220} is an apocalyptic number.

232122321221220 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 232122321221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353040428436696).

232122321221220 is an abundant number, since it is smaller than the sum of its proper divisors (473958535652172).

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

232122321221220 is a wasteful number, since it uses less digits than its factorization.

232122321221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435262 (or 435257 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 232122321221220 its reverse (22122123221232), we get a palindrome (254244444442452).

The spelling of 232122321221220 in words is "two hundred thirty-two trillion, one hundred twenty-two billion, three hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty".