12098146541121 has 15 divisors (see below), whose sum is σ = 18072586657873. Its totient is φ = 8065410157980.

The previous prime is 12098146541081. The next prime is 12098146541153. The reversal of 12098146541121 is 12114564189021.

The square root of 12098146541121 is 3478239.

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

12098146541121 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 81 + 4 + 6 + 541 + 1 + 21 = 666.

It is not a de Polignac number, because 12098146541121 - 2³⁹ = 11548390727233 is a prime.

It is a super-2 number, since 2×12098146541121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12098146541821) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 31110916 + ... + 31497386.

Almost surely, 2^{12098146541121} is an apocalyptic number.

12098146541121 is the 3478239-th square number.

12098146541121 is the 1739120-th centered octagonal number.

It is an amenable number.

12098146541121 is a deficient number, since it is larger than the sum of its proper divisors (5974440116752).

12098146541121 is an frugal number, since it uses more digits than its factorization.

12098146541121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772954 (or 386474 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 12098146541121 in words is "twelve trillion, ninety-eight billion, one hundred forty-six million, five hundred forty-one thousand, one hundred twenty-one".