121626417672 has 80 divisors (see below), whose sum is σ = 348975603900. Its totient is φ = 39553297920.

The previous prime is 121626417641. The next prime is 121626417673. The reversal of 121626417672 is 276714626121.

121626417672 is a `hidden beast` number, since 1 + 2 + 1 + 626 + 4 + 17 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109896228036 + 11730189636 = 331506^2 + 108306^2 .

It is not an unprimeable number, because it can be changed into a prime (121626417673) 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 19 ways as a sum of consecutive naturals, for example, 2262397 + ... + 2315532.

Almost surely, 2^121626417672 is an apocalyptic number.

121626417672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121626417672 is an abundant number, since it is smaller than the sum of its proper divisors (227349186228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121626417672 is a wasteful number, since it uses less digits than its factorization.

121626417672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577988 (or 4577975 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 121626417672 in words is "one hundred twenty-one billion, six hundred twenty-six million, four hundred seventeen thousand, six hundred seventy-two".