412034505112001 has 2 divisors, whose sum is σ = 412034505112002. Its totient is φ = 412034505112000.

The previous prime is 412034505111997. The next prime is 412034505112051. The reversal of 412034505112001 is 100211505430214.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 350330730831376 + 61703774280625 = 18717124^2 + 7855175^2 .

It is a cyclic number.

It is not a de Polignac number, because 412034505112001 - 2² = 412034505111997 is a prime.

It is a super-3 number, since 3×412034505112001³ (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (412034505112051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206017252556000 + 206017252556001.

It is an arithmetic number, because the mean of its divisors is an integer number (206017252556001).

Almost surely, 2^{412034505112001} is an apocalyptic number.

It is an amenable number.

412034505112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

412034505112001 is an equidigital number, since it uses as much as digits as its factorization.

412034505112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 412034505112001 in words is "four hundred twelve trillion, thirty-four billion, five hundred five million, one hundred twelve thousand, one".