122841735943168 has 264 divisors, whose sum is σ = 283192057659392. Its totient is φ = 53150017536000.

The previous prime is 122841735943151. The next prime is 122841735943169. The reversal of 122841735943168 is 861349537148221.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122841735943169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234040321 + ... + 234564607.

Almost surely, 2^{122841735943168} 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 122841735943168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141596028829696).

122841735943168 is an abundant number, since it is smaller than the sum of its proper divisors (160350321716224).

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

122841735943168 is a wasteful number, since it uses less digits than its factorization.

122841735943168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524421 (or 524392 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 64.

The spelling of 122841735943168 in words is "one hundred twenty-two trillion, eight hundred forty-one billion, seven hundred thirty-five million, nine hundred forty-three thousand, one hundred sixty-eight".