8011667979121 has 3 divisors (see below), whose sum is σ = 8011670809611. Its totient is φ = 8011665148632.

The previous prime is 8011667979113. The next prime is 8011667979167. The reversal of 8011667979121 is 1219797661108.

It is a happy number.

The square root of 8011667979121 is 2830489.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1187034219121 + 6824633760000 = 1089511^2 + 2612400^2 .

It is not a de Polignac number, because 8011667979121 - 2³ = 8011667979113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8011667979101) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1415245 + ... + 4245733.

It is an arithmetic number, because the mean of its divisors is an integer number (2670556936537).

Almost surely, 2^{8011667979121} is an apocalyptic number.

8011667979121 is the 2830489-th square number.

8011667979121 is the 1415245-th centered octagonal number.

It is an amenable number.

8011667979121 is a deficient number, since it is larger than the sum of its proper divisors (2830490).

8011667979121 is an frugal number, since it uses more digits than its factorization.

8011667979121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660978 (or 2830489 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 58.

The spelling of 8011667979121 in words is "eight trillion, eleven billion, six hundred sixty-seven million, nine hundred seventy-nine thousand, one hundred twenty-one".