122125367808 has 60 divisors (see below), whose sum is σ = 352462093698. Its totient is φ = 40708454400.

The previous prime is 122125367801. The next prime is 122125367821. The reversal of 122125367808 is 808763521221.

122125367808 is a `hidden beast` number, since 1 + 22 + 12 + 536 + 7 + 80 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89396216064 + 32729151744 = 298992^2 + 180912^2 .

It is a super-3 number, since 3×122125367808³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122125367801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13246843 + ... + 13256058.

Almost surely, 2^122125367808 is an apocalyptic number.

122125367808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122125367808 is an abundant number, since it is smaller than the sum of its proper divisors (230336725890).

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

122125367808 is an equidigital number, since it uses as much as digits as its factorization.

122125367808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26502925 (or 26502906 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 122125367808 in words is "one hundred twenty-two billion, one hundred twenty-five million, three hundred sixty-seven thousand, eight hundred eight".