120671111121638 has 96 divisors (see below), whose sum is σ = 241660380745728. Its totient is φ = 43751957990400.

The previous prime is 120671111121637. The next prime is 120671111121647. The reversal of 120671111121638 is 836121111176021.

120671111121638 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 120671111121595 and 120671111121604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120671111121637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17827643 + ... + 23646713.

It is an arithmetic number, because the mean of its divisors is an integer number (2517295632768).

Almost surely, 2^{120671111121638} is an apocalyptic number.

120671111121638 is an abundant number, since it is smaller than the sum of its proper divisors (120989269624090).

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

120671111121638 is a wasteful number, since it uses less digits than its factorization.

120671111121638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819286 (or 5819197 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 41.

Adding to 120671111121638 its reverse (836121111176021), we get a palindrome (956792222297659).

The spelling of 120671111121638 in words is "one hundred twenty trillion, six hundred seventy-one billion, one hundred eleven million, one hundred twenty-one thousand, six hundred thirty-eight".