71212144121217 has 24 divisors (see below), whose sum is σ = 112280552137728. Its totient is φ = 43132922704800.

The previous prime is 71212144121189. The next prime is 71212144121219.

71212144121217 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 21 + 4 + 412 + 1 + 217 = 666.

71212144121217 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71212144121217 - 2²² = 71212139926913 is a prime.

It is a super-2 number, since 2×71212144121217² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71212144121219) 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, 216105534 + ... + 216434807.

It is an arithmetic number, because the mean of its divisors is an integer number (4678356339072).

Almost surely, 2^{71212144121217} is an apocalyptic number.

It is an amenable number.

71212144121217 is a deficient number, since it is larger than the sum of its proper divisors (41068408016511).

71212144121217 is a wasteful number, since it uses less digits than its factorization.

71212144121217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432542021 (or 432542018 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The spelling of 71212144121217 in words is "seventy-one trillion, two hundred twelve billion, one hundred forty-four million, one hundred twenty-one thousand, two hundred seventeen".