122121808032 has 96 divisors (see below), whose sum is σ = 366451610112. Its totient is φ = 34883737344.

The previous prime is 122121808031. The next prime is 122121808079. The reversal of 122121808032 is 230808121221.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (122121808031) 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 15 ways as a sum of consecutive naturals, for example, 3197883 + ... + 3235845.

It is an arithmetic number, because the mean of its divisors is an integer number (3817204272).

Almost surely, 2^122121808032 is an apocalyptic number.

122121808032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122121808032 is an abundant number, since it is smaller than the sum of its proper divisors (244329802080).

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

122121808032 is a wasteful number, since it uses less digits than its factorization.

122121808032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42770 (or 42762 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 122121808032 its reverse (230808121221), we get a palindrome (352929929253).

The spelling of 122121808032 in words is "one hundred twenty-two billion, one hundred twenty-one million, eight hundred eight thousand, thirty-two".