122554311012224 has 128 divisors (see below), whose sum is σ = 300796994426880. Its totient is φ = 48434096240640.

The previous prime is 122554311012197. The next prime is 122554311012227. The reversal of 122554311012224 is 422210113455221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122554311012227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6234647 + ... + 16851689.

It is an arithmetic number, because the mean of its divisors is an integer number (2349976518960).

Almost surely, 2^{122554311012224} is an apocalyptic number.

122554311012224 is a gapful number since it is divisible by the number (14) 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 122554311012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150398497213440).

122554311012224 is an abundant number, since it is smaller than the sum of its proper divisors (178242683414656).

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

122554311012224 is a wasteful number, since it uses less digits than its factorization.

122554311012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618068 (or 10618056 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 122554311012224 its reverse (422210113455221), we get a palindrome (544764424467445).

The spelling of 122554311012224 in words is "one hundred twenty-two trillion, five hundred fifty-four billion, three hundred eleven million, twelve thousand, two hundred twenty-four".