312041021320 has 128 divisors (see below), whose sum is σ = 820797546240. Its totient is φ = 104547456000.

The previous prime is 312041021317. The next prime is 312041021323. The reversal of 312041021320 is 23120140213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312041021317) and next prime (312041021323).

It is not an unprimeable number, because it can be changed into a prime (312041021323) 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, 3682954 + ... + 3766726.

It is an arithmetic number, because the mean of its divisors is an integer number (6412480830).

Almost surely, 2^312041021320 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 312041021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410398773120).

312041021320 is an abundant number, since it is smaller than the sum of its proper divisors (508756524920).

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

312041021320 is a wasteful number, since it uses less digits than its factorization.

312041021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84095 (or 84091 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 312041021320 its reverse (23120140213), we get a palindrome (335161161533).

The spelling of 312041021320 in words is "three hundred twelve billion, forty-one million, twenty-one thousand, three hundred twenty".