121141356114404 has 12 divisors (see below), whose sum is σ = 219307627448700. Its totient is φ = 58482033986208.

The previous prime is 121141356114377. The next prime is 121141356114431. The reversal of 121141356114404 is 404411653141121.

It is an interprime number because it is at equal distance from previous prime (121141356114377) and next prime (121141356114431).

It can be written as a sum of positive squares in 2 ways, for example, as 62806100500900 + 58335255613504 = 7925030^2 + 7637752^2 .

It is a super-3 number, since 3×121141356114404³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 522161017619 + ... + 522161017850.

It is an arithmetic number, because the mean of its divisors is an integer number (18275635620725).

Almost surely, 2^{121141356114404} is an apocalyptic number.

It is an amenable number.

121141356114404 is a deficient number, since it is larger than the sum of its proper divisors (98166271334296).

121141356114404 is a wasteful number, since it uses less digits than its factorization.

121141356114404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044322035502 (or 1044322035500 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 121141356114404 in words is "one hundred twenty-one trillion, one hundred forty-one billion, three hundred fifty-six million, one hundred fourteen thousand, four hundred four".