122417861724288 has 384 divisors, whose sum is σ = 401723599258800. Its totient is φ = 35447797186560.

The previous prime is 122417861724287. The next prime is 122417861724313. The reversal of 122417861724288 is 882427168714221.

122417861724288 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 1 + 7 + 8 + 617 + 2 + 4 + 2 + 8 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25007120506944 + 97410741217344 = 5000712^2 + 9869688^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×122417861724288² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122417861724283) 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 47 ways as a sum of consecutive naturals, for example, 3651087108 + ... + 3651120636.

Almost surely, 2^{122417861724288} is an apocalyptic number.

122417861724288 is a gapful number since it is divisible by the number (18) 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 122417861724288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200861799629400).

122417861724288 is an abundant number, since it is smaller than the sum of its proper divisors (279305737534512).

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

122417861724288 is a wasteful number, since it uses less digits than its factorization.

122417861724288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47920 (or 47905 counting only the distinct ones).

The product of its digits is 38535168, while the sum is 63.

The spelling of 122417861724288 in words is "one hundred twenty-two trillion, four hundred seventeen billion, eight hundred sixty-one million, seven hundred twenty-four thousand, two hundred eighty-eight".