121211310321 has 24 divisors (see below), whose sum is σ = 177982257960. Its totient is φ = 79469856000.

The previous prime is 121211310299. The next prime is 121211310349. The reversal of 121211310321 is 123013112121.

121211310321 is a `hidden beast` number, since 1 + 21 + 2 + 11 + 310 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132365025 + 121078945296 = 11505^2 + 347964^2 .

It is not a de Polignac number, because 121211310321 - 2¹⁵ = 121211277553 is a prime.

It is a super-2 number, since 2×121211310321² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121211310294 and 121211310303.

It is not an unprimeable number, because it can be changed into a prime (121211310721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4284021 + ... + 4312221.

It is an arithmetic number, because the mean of its divisors is an integer number (7415927415).

Almost surely, 2^121211310321 is an apocalyptic number.

It is an amenable number.

121211310321 is a deficient number, since it is larger than the sum of its proper divisors (56770947639).

121211310321 is a wasteful number, since it uses less digits than its factorization.

121211310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36097 (or 36094 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121211310321 its reverse (123013112121), we get a palindrome (244224422442).

The spelling of 121211310321 in words is "one hundred twenty-one billion, two hundred eleven million, three hundred ten thousand, three hundred twenty-one".