2311101111120 has 80 divisors (see below), whose sum is σ = 7165017600000. Its totient is φ = 616241659392.

The previous prime is 2311101111097. The next prime is 2311101111131. The reversal of 2311101111120 is 211111011132.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2311101111120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2488881 + ... + 3288879.

It is an arithmetic number, because the mean of its divisors is an integer number (89562720000).

Almost surely, 2^{2311101111120} is an apocalyptic number.

2311101111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2311101111120 is an abundant number, since it is smaller than the sum of its proper divisors (4853916488880).

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

2311101111120 is a wasteful number, since it uses less digits than its factorization.

2311101111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812052 (or 812046 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 2311101111120 its reverse (211111011132), we get a palindrome (2522212122252).

The spelling of 2311101111120 in words is "two trillion, three hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred twenty".