121211120001213 has 48 divisors (see below), whose sum is σ = 196163833320000. Its totient is φ = 71474989040640.

The previous prime is 121211120001203. The next prime is 121211120001229. The reversal of 121211120001213 is 312100021112121.

It is a happy number.

121211120001213 is a `hidden beast` number, since 121 + 211 + 120 + 0 + 0 + 1 + 213 = 666.

It is not a de Polignac number, because 121211120001213 - 2¹⁰ = 121211120000189 is a prime.

It is a super-2 number, since 2×121211120001213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121211120001203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438319213 + ... + 438595661.

It is an arithmetic number, because the mean of its divisors is an integer number (4086746527500).

Almost surely, 2^{121211120001213} is an apocalyptic number.

It is an amenable number.

121211120001213 is a deficient number, since it is larger than the sum of its proper divisors (74952713318787).

121211120001213 is a wasteful number, since it uses less digits than its factorization.

121211120001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396202 (or 396199 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 121211120001213 its reverse (312100021112121), we get a palindrome (433311141113334).

The spelling of 121211120001213 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred twenty million, one thousand, two hundred thirteen".