122035446225 has 144 divisors (see below), whose sum is σ = 274152453120. Its totient is φ = 50411145600.

The previous prime is 122035446167. The next prime is 122035446343. The reversal of 122035446225 is 522644530221.

122035446225 is a `hidden beast` number, since 1 + 2 + 20 + 3 + 5 + 4 + 4 + 622 + 5 = 666.

It is not a de Polignac number, because 122035446225 - 2⁸ = 122035445969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122035446225.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2872186 + ... + 2914364.

It is an arithmetic number, because the mean of its divisors is an integer number (1903836480).

Almost surely, 2^122035446225 is an apocalyptic number.

122035446225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122035446225 is an abundant number, since it is smaller than the sum of its proper divisors (152117006895).

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

122035446225 is a wasteful number, since it uses less digits than its factorization.

122035446225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42380 (or 42372 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 122035446225 its reverse (522644530221), we get a palindrome (644679976446).

The spelling of 122035446225 in words is "one hundred twenty-two billion, thirty-five million, four hundred forty-six thousand, two hundred twenty-five".