121114404411121 has 24 divisors (see below), whose sum is σ = 133461974547720. Its totient is φ = 109825967201280.

The previous prime is 121114404411103. The next prime is 121114404411131.

121114404411121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 59026875581025 + 62087528830096 = 7682895^2 + 7879564^2 .

It is not a de Polignac number, because 121114404411121 - 2⁹ = 121114404410609 is a prime.

It is a super-3 number, since 3×121114404411121³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121114404411121.

It is not an unprimeable number, because it can be changed into a prime (121114404411131) 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, 659943045 + ... + 660126541.

It is an arithmetic number, because the mean of its divisors is an integer number (5560915606155).

Almost surely, 2^{121114404411121} is an apocalyptic number.

121114404411121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121114404411121 is a deficient number, since it is larger than the sum of its proper divisors (12347570136599).

121114404411121 is a wasteful number, since it uses less digits than its factorization.

121114404411121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197265 (or 197254 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

It can be divided in two parts, 12111440 and 4411121, that added together give a palindrome (16522561).

The spelling of 121114404411121 in words is "one hundred twenty-one trillion, one hundred fourteen billion, four hundred four million, four hundred eleven thousand, one hundred twenty-one".