121314303413121 has 32 divisors (see below), whose sum is σ = 199204541901568. Its totient is φ = 63949893154560.

The previous prime is 121314303413119. The next prime is 121314303413183.

It is a happy number.

121314303413121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121314303413121 - 2¹ = 121314303413119 is a prime.

It is a super-2 number, since 2×121314303413121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121314303412121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138691990 + ... + 139563951.

It is an arithmetic number, because the mean of its divisors is an integer number (6225141934424).

Almost surely, 2^{121314303413121} is an apocalyptic number.

It is an amenable number.

121314303413121 is a deficient number, since it is larger than the sum of its proper divisors (77890238488447).

121314303413121 is a wasteful number, since it uses less digits than its factorization.

121314303413121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278257561.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 12131430 and 3413121, that added together give a palindrome (15544551).

The spelling of 121314303413121 in words is "one hundred twenty-one trillion, three hundred fourteen billion, three hundred three million, four hundred thirteen thousand, one hundred twenty-one".