311441124124020 has 192 divisors, whose sum is σ = 953133230939904. Its totient is φ = 75356351508480.

The previous prime is 311441124124019. The next prime is 311441124124033. The reversal of 311441124124020 is 20421421144113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1134633114 + ... + 1134907566.

It is an arithmetic number, because the mean of its divisors is an integer number (4964235577812).

Almost surely, 2^{311441124124020} is an apocalyptic number.

311441124124020 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 311441124124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476566615469952).

311441124124020 is an abundant number, since it is smaller than the sum of its proper divisors (641692106815884).

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

311441124124020 is a wasteful number, since it uses less digits than its factorization.

311441124124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277762 (or 277760 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 311441124124020 its reverse (20421421144113), we get a palindrome (331862545268133).

The spelling of 311441124124020 in words is "three hundred eleven trillion, four hundred forty-one billion, one hundred twenty-four million, one hundred twenty-four thousand, twenty".