122343414144 has 64 divisors (see below), whose sum is σ = 371399658240. Its totient is φ = 34955260416.

The previous prime is 122343414113. The next prime is 122343414161. The reversal of 122343414144 is 441414343221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

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 7 ways as a sum of consecutive naturals, for example, 22754644 + ... + 22760019.

It is an arithmetic number, because the mean of its divisors is an integer number (5803119660).

Almost surely, 2^122343414144 is an apocalyptic number.

122343414144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122343414144 is an abundant number, since it is smaller than the sum of its proper divisors (249056244096).

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

122343414144 is an equidigital number, since it uses as much as digits as its factorization.

122343414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45514687 (or 45514675 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 122343414144 its reverse (441414343221), we get a palindrome (563757757365).

The spelling of 122343414144 in words is "one hundred twenty-two billion, three hundred forty-three million, four hundred fourteen thousand, one hundred forty-four".