232001321220000 has 360 divisors, whose sum is σ = 824475430658880. Its totient is φ = 61863481920000.

The previous prime is 232001321219999. The next prime is 232001321220017. The reversal of 232001321220000 is 22123100232.

232001321220000 is a `hidden beast` number, since 2 + 320 + 0 + 1 + 321 + 2 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×232001321220000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 5140597435 + ... + 5140642565.

It is an arithmetic number, because the mean of its divisors is an integer number (2290209529608).

Almost surely, 2^{232001321220000} is an apocalyptic number.

232001321220000 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 232001321220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412237715329440).

232001321220000 is an abundant number, since it is smaller than the sum of its proper divisors (592474109438880).

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

232001321220000 is a wasteful number, since it uses less digits than its factorization.

232001321220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73726 (or 73700 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232001321220000 its reverse (22123100232), we get a palindrome (232023444320232).

The spelling of 232001321220000 in words is "two hundred thirty-two trillion, one billion, three hundred twenty-one million, two hundred twenty thousand".