231320221200 has 150 divisors (see below), whose sum is σ = 830189827434. Its totient is φ = 61685383680.

The previous prime is 231320221163. The next prime is 231320221219. The reversal of 231320221200 is 2122023132.

231320221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 40410648576 + 190909572624 = 201024^2 + 436932^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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 29 ways as a sum of consecutive naturals, for example, 3537357 + ... + 3602156.

Almost surely, 2^231320221200 is an apocalyptic number.

231320221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231320221200 is an abundant number, since it is smaller than the sum of its proper divisors (598869606234).

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

231320221200 is a wasteful number, since it uses less digits than its factorization.

231320221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7139543 (or 7139523 counting only the distinct ones).

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

Adding to 231320221200 its reverse (2122023132), we get a palindrome (233442244332).

The spelling of 231320221200 in words is "two hundred thirty-one billion, three hundred twenty million, two hundred twenty-one thousand, two hundred".