121334131125 has 48 divisors (see below), whose sum is σ = 219633057072. Its totient is φ = 64442880000.

The previous prime is 121334131111. The next prime is 121334131159. The reversal of 121334131125 is 521131433121.

121334131125 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 341 + 311 + 2 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9622432836 + 111711698289 = 98094^2 + 334233^2 .

It is not a de Polignac number, because 121334131125 - 2⁴ = 121334131109 is a prime.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 47365 + ... + 494885.

It is an arithmetic number, because the mean of its divisors is an integer number (4575688689).

Almost surely, 2^121334131125 is an apocalyptic number.

121334131125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121334131125 is a deficient number, since it is larger than the sum of its proper divisors (98298925947).

121334131125 is a wasteful number, since it uses less digits than its factorization.

121334131125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447783 (or 447770 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 121334131125 its reverse (521131433121), we get a palindrome (642465564246).

The spelling of 121334131125 in words is "one hundred twenty-one billion, three hundred thirty-four million, one hundred thirty-one thousand, one hundred twenty-five".