412123101321214 has 64 divisors (see below), whose sum is σ = 670126687211520. Its totient is φ = 189579741120000.

The previous prime is 412123101321203. The next prime is 412123101321233.

412123101321214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6849395722 + ... + 6849455890.

It is an arithmetic number, because the mean of its divisors is an integer number (10470729487680).

Almost surely, 2^{412123101321214} is an apocalyptic number.

412123101321214 is a deficient number, since it is larger than the sum of its proper divisors (258003585890306).

412123101321214 is a wasteful number, since it uses less digits than its factorization.

412123101321214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111457.

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 41212310 and 1321214, that added together give a palindrome (42533524).

The spelling of 412123101321214 in words is "four hundred twelve trillion, one hundred twenty-three billion, one hundred one million, three hundred twenty-one thousand, two hundred fourteen".