122555330135424 has 448 divisors, whose sum is σ = 383511269191680. Its totient is φ = 38943856512000.

The previous prime is 122555330135389. The next prime is 122555330135437. The reversal of 122555330135424 is 424531033555221.

122555330135424 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 553 + 30 + 13 + 54 + 2 + 4 = 666.

It is a super-4 number, since 4×122555330135424⁴ (a number of 57 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122555330135424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 193492849 + ... + 194125199.

It is an arithmetic number, because the mean of its divisors is an integer number (856051940160).

Almost surely, 2^{122555330135424} 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 122555330135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191755634595840).

122555330135424 is an abundant number, since it is smaller than the sum of its proper divisors (260955939056256).

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

122555330135424 is an frugal number, since it uses more digits than its factorization.

122555330135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632481 (or 632454 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 122555330135424 in words is "one hundred twenty-two trillion, five hundred fifty-five billion, three hundred thirty million, one hundred thirty-five thousand, four hundred twenty-four".