311212301212320 has 384 divisors, whose sum is σ = 1014183639447552. Its totient is φ = 80135051673600.

The previous prime is 311212301212313. The next prime is 311212301212361. The reversal of 311212301212320 is 23212103212113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29761140532 + ... + 29761150988.

It is an arithmetic number, because the mean of its divisors is an integer number (2641103227728).

Almost surely, 2^{311212301212320} is an apocalyptic number.

311212301212320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311212301212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507091819723776).

311212301212320 is an abundant number, since it is smaller than the sum of its proper divisors (702971338235232).

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

311212301212320 is a wasteful number, since it uses less digits than its factorization.

311212301212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14744 (or 14736 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 311212301212320 its reverse (23212103212113), we get a palindrome (334424404424433).

The spelling of 311212301212320 in words is "three hundred eleven trillion, two hundred twelve billion, three hundred one million, two hundred twelve thousand, three hundred twenty".