122311331120 has 80 divisors (see below), whose sum is σ = 326553742080. Its totient is φ = 42135955200.

The previous prime is 122311331099. The next prime is 122311331137. The reversal of 122311331120 is 21133113221.

It is a happy number.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 122311331092 and 122311331101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3640916 + ... + 3674355.

It is an arithmetic number, because the mean of its divisors is an integer number (4081921776).

Almost surely, 2^122311331120 is an apocalyptic number.

122311331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122311331120 is an abundant number, since it is smaller than the sum of its proper divisors (204242410960).

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

122311331120 is a wasteful number, since it uses less digits than its factorization.

122311331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315314 (or 7315308 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 122311331120 its reverse (21133113221), we get a palindrome (143444444341).

It can be divided in two parts, 12 and 2311331120, that added together give a palindrome (2311331132).

The spelling of 122311331120 in words is "one hundred twenty-two billion, three hundred eleven million, three hundred thirty-one thousand, one hundred twenty".