121766121 has 24 divisors (see below), whose sum is σ = 187302024. Its totient is φ = 75962880.

The previous prime is 121766101. The next prime is 121766159. The reversal of 121766121 is 121667121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4347225 + 117418896 = 2085^2 + 10836^2 .

It is not a de Polignac number, because 121766121 - 2⁵ = 121766089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121766101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25495 + ... + 29891.

It is an arithmetic number, because the mean of its divisors is an integer number (7804251).

Almost surely, 2^121766121 is an apocalyptic number.

It is an amenable number.

121766121 is a deficient number, since it is larger than the sum of its proper divisors (65535903).

121766121 is a wasteful number, since it uses less digits than its factorization.

121766121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4598 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 121766121 is about 11034.7687334171. The cubic root of 121766121 is about 495.6504335952.

The spelling of 121766121 in words is "one hundred twenty-one million, seven hundred sixty-six thousand, one hundred twenty-one".