311201121220 has 96 divisors (see below), whose sum is σ = 757887580800. Its totient is φ = 106146432000.

The previous prime is 311201121173. The next prime is 311201121251. The reversal of 311201121220 is 22121102113.

It is a super-2 number, since 2×311201121220² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311201121194 and 311201121203.

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, 53616 + ... + 790744.

It is an arithmetic number, because the mean of its divisors is an integer number (7894662300).

Almost surely, 2^311201121220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311201121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378943790400).

311201121220 is an abundant number, since it is smaller than the sum of its proper divisors (446686459580).

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

311201121220 is a wasteful number, since it uses less digits than its factorization.

311201121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737269 (or 737267 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 311201121220 its reverse (22121102113), we get a palindrome (333322223333).

The spelling of 311201121220 in words is "three hundred eleven billion, two hundred one million, one hundred twenty-one thousand, two hundred twenty".