121312222213121 has 8 divisors (see below), whose sum is σ = 122513661511488. Its totient is φ = 120110789350000.

The previous prime is 121312222213111. The next prime is 121312222213151.

121312222213121 is nontrivially palindromic in base 10.

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 121312222213121 - 2¹⁸ = 121312221950977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121312222213111) 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 7 ways as a sum of consecutive naturals, for example, 42142916 + ... + 44929386.

It is an arithmetic number, because the mean of its divisors is an integer number (15314207688936).

Almost surely, 2^{121312222213121} is an apocalyptic number.

It is an amenable number.

121312222213121 is a deficient number, since it is larger than the sum of its proper divisors (1201439298367).

121312222213121 is a wasteful number, since it uses less digits than its factorization.

121312222213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217623.

The product of its digits is 1152, while the sum is 26.

The spelling of 121312222213121 in words is "one hundred twenty-one trillion, three hundred twelve billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred twenty-one".