8120200167 has 24 divisors (see below), whose sum is σ = 11803933440. Its totient is φ = 5379030720.

The previous prime is 8120200157. The next prime is 8120200181. The reversal of 8120200167 is 7610020218.

It is not a de Polignac number, because 8120200167 - 2⁶ = 8120200103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8120200167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8120200157) 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, 1918009 + ... + 1922237.

It is an arithmetic number, because the mean of its divisors is an integer number (491830560).

Almost surely, 2^8120200167 is an apocalyptic number.

8120200167 is a deficient number, since it is larger than the sum of its proper divisors (3683733273).

8120200167 is a wasteful number, since it uses less digits than its factorization.

8120200167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 8120200167 is about 90112.1532702443. The cubic root of 8120200167 is about 2009.9669282447.

The spelling of 8120200167 in words is "eight billion, one hundred twenty million, two hundred thousand, one hundred sixty-seven".