312313221220 has 192 divisors, whose sum is σ = 881504612352. Its totient is φ = 89763264000.

The previous prime is 312313221179. The next prime is 312313221229. The reversal of 312313221220 is 22122313213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 312313221191 and 312313221200.

It is not an unprimeable number, because it can be changed into a prime (312313221229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20633055 + ... + 20648185.

It is an arithmetic number, because the mean of its divisors is an integer number (4591169856).

Almost surely, 2^312313221220 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 312313221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440752306176).

312313221220 is an abundant number, since it is smaller than the sum of its proper divisors (569191391132).

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

312313221220 is a wasteful number, since it uses less digits than its factorization.

312313221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16202 (or 16200 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 312313221220 its reverse (22122313213), we get a palindrome (334435534433).

The spelling of 312313221220 in words is "three hundred twelve billion, three hundred thirteen million, two hundred twenty-one thousand, two hundred twenty".