121013212000321 has 8 divisors (see below), whose sum is σ = 128132207255304. Its totient is φ = 113894280192000.

The previous prime is 121013212000237. The next prime is 121013212000339. The reversal of 121013212000321 is 123000212310121.

It can be written as a sum of positive squares in 4 ways, for example, as 55549966644225 + 65463245356096 = 7453185^2 + 8090936^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121013212000321 - 2³⁷ = 120875773046849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121013212000361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11906640 + ... + 19590673.

It is an arithmetic number, because the mean of its divisors is an integer number (16016525906913).

Almost surely, 2^{121013212000321} is an apocalyptic number.

It is an amenable number.

121013212000321 is a deficient number, since it is larger than the sum of its proper divisors (7118995254983).

121013212000321 is a wasteful number, since it uses less digits than its factorization.

121013212000321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31723331.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 121013212000321 its reverse (123000212310121), we get a palindrome (244013424310442).

The spelling of 121013212000321 in words is "one hundred twenty-one trillion, thirteen billion, two hundred twelve million, three hundred twenty-one", and thus it is an aban number.