231312312000 has 1008 divisors, whose sum is σ = 1039706181696. Its totient is φ = 48052224000.

The previous prime is 231312311983. The next prime is 231312312031. The reversal of 231312312000 is 213213132.

231312312000 is a `hidden beast` number, since 231 + 3 + 1 + 231 + 200 + 0 = 666.

231312312000 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 (1008).

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 143 ways as a sum of consecutive naturals, for example, 60982104 + ... + 60985896.

Almost surely, 2^231312312000 is an apocalyptic number.

231312312000 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 231312312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519853090848).

231312312000 is an abundant number, since it is smaller than the sum of its proper divisors (808393869696).

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

231312312000 is a wasteful number, since it uses less digits than its factorization.

231312312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231312312000 its reverse (213213132), we get a palindrome (231525525132).

The spelling of 231312312000 in words is "two hundred thirty-one billion, three hundred twelve million, three hundred twelve thousand".