121214626412121 has 18 divisors (see below), whose sum is σ = 192451872422810. Its totient is φ = 73463409946080.

The previous prime is 121214626412051. The next prime is 121214626412137.

It is a happy number.

121214626412121 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 1 + 4 + 6 + 2 + 641 + 2 + 1 + 2 + 1 = 666.

121214626412121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 103799195099721 + 17415431312400 = 10188189^2 + 4173180^2 .

It is a de Polignac number, because none of the positive numbers 2^k-121214626412121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121214626422121) 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 17 ways as a sum of consecutive naturals, for example, 55654097356 + ... + 55654099533.

Almost surely, 2^{121214626412121} is an apocalyptic number.

121214626412121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121214626412121 is a deficient number, since it is larger than the sum of its proper divisors (71237246010689).

121214626412121 is a wasteful number, since it uses less digits than its factorization.

121214626412121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111308196917 (or 111308196903 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 121214626412121 in words is "one hundred twenty-one trillion, two hundred fourteen billion, six hundred twenty-six million, four hundred twelve thousand, one hundred twenty-one".