311221000200000 has 336 divisors, whose sum is σ = 1122799382365248. Its totient is φ = 75447513600000.

The previous prime is 311221000199959. The next prime is 311221000200001. The reversal of 311221000200000 is 2000122113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311221000200001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16977349 + ... + 30177348.

It is an arithmetic number, because the mean of its divisors is an integer number (3341664828468).

Almost surely, 2^{311221000200000} is an apocalyptic number.

311221000200000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311221000200000 is an abundant number, since it is smaller than the sum of its proper divisors (811578382165248).

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

311221000200000 is an equidigital number, since it uses as much as digits as its factorization.

311221000200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47154748 (or 47154718 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 311221000200000 its reverse (2000122113), we get a palindrome (311223000322113).

The spelling of 311221000200000 in words is "three hundred eleven trillion, two hundred twenty-one billion, two hundred thousand".