122311123040 has 192 divisors, whose sum is σ = 299142595584. Its totient is φ = 47234101248.

The previous prime is 122311123027. The next prime is 122311123063. The reversal of 122311123040 is 40321113221.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 233864219 + ... + 233864741.

It is an arithmetic number, because the mean of its divisors is an integer number (1558034352).

Almost surely, 2^122311123040 is an apocalyptic number.

122311123040 is a gapful number since it is divisible by the number (10) 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 122311123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149571297792).

122311123040 is an abundant number, since it is smaller than the sum of its proper divisors (176831472544).

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

122311123040 is a wasteful number, since it uses less digits than its factorization.

122311123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122311123040 its reverse (40321113221), we get a palindrome (162632236261).

The spelling of 122311123040 in words is "one hundred twenty-two billion, three hundred eleven million, one hundred twenty-three thousand, forty".