121342222243121 has 24 divisors (see below), whose sum is σ = 135554660715432. Its totient is φ = 108523258272000.

The previous prime is 121342222243097. The next prime is 121342222243133.

It is a happy number.

121342222243121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 78925189480225 + 42417032762896 = 8883985^2 + 6512836^2 .

It is not a de Polignac number, because 121342222243121 - 2¹⁰ = 121342222242097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121342222243321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29702300 + ... + 33539693.

It is an arithmetic number, because the mean of its divisors is an integer number (5648110863143).

Almost surely, 2^{121342222243121} is an apocalyptic number.

121342222243121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121342222243121 is a deficient number, since it is larger than the sum of its proper divisors (14212438472311).

121342222243121 is a wasteful number, since it uses less digits than its factorization.

121342222243121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63242273 (or 63242262 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 121342222243121 in words is "one hundred twenty-one trillion, three hundred forty-two billion, two hundred twenty-two million, two hundred forty-three thousand, one hundred twenty-one".