121351531167 has 48 divisors (see below), whose sum is σ = 195796972800. Its totient is φ = 72068071680.

The previous prime is 121351531157. The next prime is 121351531199. The reversal of 121351531167 is 761135153121.

121351531167 is a `hidden beast` number, since 1 + 2 + 13 + 51 + 531 + 1 + 67 = 666.

It is not a de Polignac number, because 121351531167 - 2¹⁰ = 121351530143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121351531127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29434 + ... + 493527.

It is an arithmetic number, because the mean of its divisors is an integer number (4079103600).

Almost surely, 2^121351531167 is an apocalyptic number.

121351531167 is a deficient number, since it is larger than the sum of its proper divisors (74445441633).

121351531167 is a wasteful number, since it uses less digits than its factorization.

121351531167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523068 (or 523065 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

Adding to 121351531167 its reverse (761135153121), we get a palindrome (882486684288).

The spelling of 121351531167 in words is "one hundred twenty-one billion, three hundred fifty-one million, five hundred thirty-one thousand, one hundred sixty-seven".