311111001120 has 48 divisors (see below), whose sum is σ = 979999655040. Its totient is φ = 82962933504.

The previous prime is 311111001101. The next prime is 311111001127. The reversal of 311111001120 is 21100111113.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 311111001096 and 311111001105.

It is not an unprimeable number, because it can be changed into a prime (311111001127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324073480 + ... + 324074439.

It is an arithmetic number, because the mean of its divisors is an integer number (20416659480).

Almost surely, 2^311111001120 is an apocalyptic number.

311111001120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311111001120 is an abundant number, since it is smaller than the sum of its proper divisors (668888653920).

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

311111001120 is a wasteful number, since it uses less digits than its factorization.

311111001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648147937 (or 648147929 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 311111001120 its reverse (21100111113), we get a palindrome (332211112233).

The spelling of 311111001120 in words is "three hundred eleven billion, one hundred eleven million, one thousand, one hundred twenty".