7121790971217 has 32 divisors (see below), whose sum is σ = 11362573756800. Its totient is φ = 4382574175296.

The previous prime is 7121790971213. The next prime is 7121790971263.

7121790971217 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7121790971217 - 2² = 7121790971213 is a prime.

It is a super-2 number, since 2×7121790971217² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7121790971213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33544198 + ... + 33755840.

It is an arithmetic number, because the mean of its divisors is an integer number (355080429900).

Almost surely, 2^{7121790971217} is an apocalyptic number.

It is an amenable number.

7121790971217 is a deficient number, since it is larger than the sum of its proper divisors (4240782785583).

7121790971217 is a wasteful number, since it uses less digits than its factorization.

7121790971217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307534 (or 307528 counting only the distinct ones).

The product of its (nonzero) digits is 777924, while the sum is 54.

The spelling of 7121790971217 in words is "seven trillion, one hundred twenty-one billion, seven hundred ninety million, nine hundred seventy-one thousand, two hundred seventeen".