231212309760 has 360 divisors, whose sum is σ = 863299261440. Its totient is φ = 58975285248.

The previous prime is 231212309687. The next prime is 231212309827. The reversal of 231212309760 is 67903212132.

231212309760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 2336161 + ... + 2433119.

It is an arithmetic number, because the mean of its divisors is an integer number (2398053504).

Almost surely, 2^231212309760 is an apocalyptic number.

231212309760 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 231212309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431649630720).

231212309760 is an abundant number, since it is smaller than the sum of its proper divisors (632086951680).

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

231212309760 is an equidigital number, since it uses as much as digits as its factorization.

231212309760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97015 (or 96992 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 231212309760 in words is "two hundred thirty-one billion, two hundred twelve million, three hundred nine thousand, seven hundred sixty".