122268312144 has 120 divisors (see below), whose sum is σ = 374851900800. Its totient is φ = 36895864320.

The previous prime is 122268312079. The next prime is 122268312157. The reversal of 122268312144 is 441213862221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122268312099 and 122268312108.

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 23 ways as a sum of consecutive naturals, for example, 217092 + ... + 540060.

It is an arithmetic number, because the mean of its divisors is an integer number (3123765840).

Almost surely, 2^122268312144 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 122268312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187425950400).

122268312144 is an abundant number, since it is smaller than the sum of its proper divisors (252583588656).

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

122268312144 is a wasteful number, since it uses less digits than its factorization.

122268312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323233 (or 323224 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 122268312144 in words is "one hundred twenty-two billion, two hundred sixty-eight million, three hundred twelve thousand, one hundred forty-four".