311120520000000 has 640 divisors, whose sum is σ = 1048569118781184. Its totient is φ = 81963264000000.

The previous prime is 311120519999921. The next prime is 311120520000007. The reversal of 311120520000000 is 25021113.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (311120520000007) 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, 9959984382 + ... + 9960015618.

Almost surely, 2^{311120520000000} is an apocalyptic number.

311120520000000 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 311120520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524284559390592).

311120520000000 is an abundant number, since it is smaller than the sum of its proper divisors (737448598781184).

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

311120520000000 is an frugal number, since it uses more digits than its factorization.

311120520000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31376 (or 31330 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 311120520000000 its reverse (25021113), we get a palindrome (311120545021113).

The spelling of 311120520000000 in words is "three hundred eleven trillion, one hundred twenty billion, five hundred twenty million", and thus it is an aban number.