312221331231320 has 384 divisors, whose sum is σ = 848647224144000. Its totient is φ = 102956058132480.

The previous prime is 312221331231281. The next prime is 312221331231343. The reversal of 312221331231320 is 23132133122213.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19936224290 + ... + 19936239950.

It is an arithmetic number, because the mean of its divisors is an integer number (2210018812875).

Almost surely, 2^{312221331231320} 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 312221331231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424323612072000).

312221331231320 is an abundant number, since it is smaller than the sum of its proper divisors (536425892912680).

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

312221331231320 is a wasteful number, since it uses less digits than its factorization.

312221331231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17051 (or 17040 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 312221331231320 its reverse (23132133122213), we get a palindrome (335353464353533).

The spelling of 312221331231320 in words is "three hundred twelve trillion, two hundred twenty-one billion, three hundred thirty-one million, two hundred thirty-one thousand, three hundred twenty".