311221342140 has 96 divisors (see below), whose sum is σ = 882771456000. Its totient is φ = 81912010752.

The previous prime is 311221342109. The next prime is 311221342171. The reversal of 311221342140 is 41243122113.

It is an interprime number because it is at equal distance from previous prime (311221342109) and next prime (311221342171).

It is a self number, because there is not a number n which added to its sum of digits gives 311221342140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15010701 + ... + 15031419.

It is an arithmetic number, because the mean of its divisors is an integer number (9195536000).

Almost surely, 2^311221342140 is an apocalyptic number.

311221342140 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 311221342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441385728000).

311221342140 is an abundant number, since it is smaller than the sum of its proper divisors (571550113860).

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

311221342140 is a wasteful number, since it uses less digits than its factorization.

311221342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23979 (or 23977 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 311221342140 its reverse (41243122113), we get a palindrome (352464464253).

The spelling of 311221342140 in words is "three hundred eleven billion, two hundred twenty-one million, three hundred forty-two thousand, one hundred forty".