121330467330121 has 81 divisors (see below), whose sum is σ = 147375070885287. Its totient is φ = 99595085859360.

The previous prime is 121330467330113. The next prime is 121330467330143. The reversal of 121330467330121 is 121033764033121.

The square root of 121330467330121 is 11015011.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 108568168356025 + 12762298974096 = 10419605^2 + 3572436^2 .

It is not a de Polignac number, because 121330467330121 - 2³ = 121330467330113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (121330467334121) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 202555036980 + ... + 202555037578.

Almost surely, 2^{121330467330121} is an apocalyptic number.

121330467330121 is the 11015011-st square number.

121330467330121 is the 5507506-th centered octagonal number.

It is an amenable number.

121330467330121 is a deficient number, since it is larger than the sum of its proper divisors (26044603555166).

121330467330121 is an frugal number, since it uses more digits than its factorization.

121330467330121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 121330467330121 in words is "one hundred twenty-one trillion, three hundred thirty billion, four hundred sixty-seven million, three hundred thirty thousand, one hundred twenty-one".