412412454320121 has 12 divisors (see below), whose sum is σ = 595720426139748. Its totient is φ = 274935383439264.

The previous prime is 412412454320117. The next prime is 412412454320159. The reversal of 412412454320121 is 121023454214214.

412412454320121 is a `hidden beast` number, since 4 + 1 + 241 + 24 + 54 + 320 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 152746462956096 + 259665991364025 = 12359064^2 + 16114155^2 .

It is not a de Polignac number, because 412412454320121 - 2² = 412412454320117 is a prime.

It is a super-3 number, since 3×412412454320121³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (412412454320161) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 520646770 + ... + 521438283.

It is an arithmetic number, because the mean of its divisors is an integer number (49643368844979).

Almost surely, 2^{412412454320121} is an apocalyptic number.

It is an amenable number.

412412454320121 is a deficient number, since it is larger than the sum of its proper divisors (183307971819627).

412412454320121 is a wasteful number, since it uses less digits than its factorization.

412412454320121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042129032 (or 1042129029 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 412412454320121 in words is "four hundred twelve trillion, four hundred twelve billion, four hundred fifty-four million, three hundred twenty thousand, one hundred twenty-one".