121123202321121 has 192 divisors, whose sum is σ = 224834265600000. Its totient is φ = 56397764712960.

The previous prime is 121123202321117. The next prime is 121123202321153.

121123202321121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121123202321121 - 2² = 121123202321117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121123202321091 and 121123202321100.

It is not an unprimeable number, because it can be changed into a prime (121123202321521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 609788980 + ... + 609987578.

It is an arithmetic number, because the mean of its divisors is an integer number (1171011800000).

Almost surely, 2^{121123202321121} is an apocalyptic number.

121123202321121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121123202321121 is a deficient number, since it is larger than the sum of its proper divisors (103711063278879).

121123202321121 is a wasteful number, since it uses less digits than its factorization.

121123202321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199180 (or 199169 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 12112320 and 2321121, that added together give a palindrome (14433441).

The spelling of 121123202321121 in words is "one hundred twenty-one trillion, one hundred twenty-three billion, two hundred two million, three hundred twenty-one thousand, one hundred twenty-one".