121626626121 has 96 divisors (see below), whose sum is σ = 238219188480. Its totient is φ = 57744576000.

The previous prime is 121626626119. The next prime is 121626626129.

121626626121 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 2 + 6 + 626 + 1 + 21 = 666.

121626626121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121626626121 - 2¹ = 121626626119 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121626626129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 843075 + ... + 976743.

It is an arithmetic number, because the mean of its divisors is an integer number (2481449880).

Almost surely, 2^121626626121 is an apocalyptic number.

121626626121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121626626121 is a deficient number, since it is larger than the sum of its proper divisors (116592562359).

121626626121 is a wasteful number, since it uses less digits than its factorization.

121626626121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133807 (or 133804 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

It can be divided in two parts, 121626 and 626121, that added together give a palindrome (747747).

The spelling of 121626626121 in words is "one hundred twenty-one billion, six hundred twenty-six million, six hundred twenty-six thousand, one hundred twenty-one".