312000230240 has 192 divisors, whose sum is σ = 792725004288. Its totient is φ = 115618406400.

The previous prime is 312000230239. The next prime is 312000230249. The reversal of 312000230240 is 42032000213.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312000230249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199105937 + ... + 199107503.

It is an arithmetic number, because the mean of its divisors is an integer number (4128776064).

Almost surely, 2^312000230240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312000230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396362502144).

312000230240 is an abundant number, since it is smaller than the sum of its proper divisors (480724774048).

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

312000230240 is a wasteful number, since it uses less digits than its factorization.

312000230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 312000230240 its reverse (42032000213), we get a palindrome (354032230453).

The spelling of 312000230240 in words is "three hundred twelve billion, two hundred thirty thousand, two hundred forty".