122554311004125 has 384 divisors, whose sum is σ = 297453235322880. Its totient is φ = 46882729152000.

The previous prime is 122554311004093. The next prime is 122554311004127. The reversal of 122554311004125 is 521400113455221.

122554311004125 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 543 + 1 + 100 + 4 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 122554311004125 - 2⁵ = 122554311004093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122554311004125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122554311004127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 404127304 + ... + 404430446.

It is an arithmetic number, because the mean of its divisors is an integer number (774617800320).

Almost surely, 2^{122554311004125} is an apocalyptic number.

122554311004125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122554311004125 is an abundant number, since it is smaller than the sum of its proper divisors (174898924318755).

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

122554311004125 is a wasteful number, since it uses less digits than its factorization.

122554311004125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303554 (or 303541 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 122554311004125 its reverse (521400113455221), we get a palindrome (643954424459346).

The spelling of 122554311004125 in words is "one hundred twenty-two trillion, five hundred fifty-four billion, three hundred eleven million, four thousand, one hundred twenty-five".