312401441021320 has 320 divisors, whose sum is σ = 822698641260720. Its totient is φ = 106757730680832.

The previous prime is 312401441021261. The next prime is 312401441021357. The reversal of 312401441021320 is 23120144104213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 180813149235684 + 131588291785636 = 13446678^2 + 11471194^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51441037804 + ... + 51441043876.

Almost surely, 2^{312401441021320} 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 312401441021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411349320630360).

312401441021320 is an abundant number, since it is smaller than the sum of its proper divisors (510297200239400).

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

312401441021320 is a wasteful number, since it uses less digits than its factorization.

312401441021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 312401441021320 its reverse (23120144104213), we get a palindrome (335521585125533).

The spelling of 312401441021320 in words is "three hundred twelve trillion, four hundred one billion, four hundred forty-one million, twenty-one thousand, three hundred twenty".