122626421125 has 48 divisors (see below), whose sum is σ = 165863994192. Its totient is φ = 90473760000.

The previous prime is 122626421101. The next prime is 122626421129. The reversal of 122626421125 is 521124626221.

It can be written as a sum of positive squares in 24 ways, for example, as 119675867364 + 2950553761 = 345942^2 + 54319^2 .

It is not a de Polignac number, because 122626421125 - 2¹¹ = 122626419077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122626421129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34241835 + ... + 34245415.

It is an arithmetic number, because the mean of its divisors is an integer number (3455499879).

Almost surely, 2^122626421125 is an apocalyptic number.

It is an amenable number.

122626421125 is a deficient number, since it is larger than the sum of its proper divisors (43237573067).

122626421125 is a wasteful number, since it uses less digits than its factorization.

122626421125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5243 (or 5220 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The spelling of 122626421125 in words is "one hundred twenty-two billion, six hundred twenty-six million, four hundred twenty-one thousand, one hundred twenty-five".