212167000212167 has 64 divisors (see below), whose sum is σ = 299867727667200. Its totient is φ = 144572220766080.

The previous prime is 212167000212133. The next prime is 212167000212173. The reversal of 212167000212167 is 761212000761212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 212167000212167 - 2⁶ = 212167000212103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212167000212167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212167000212367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 999893918 + ... + 1000106084.

It is an arithmetic number, because the mean of its divisors is an integer number (4685433244800).

Almost surely, 2^{212167000212167} is an apocalyptic number.

212167000212167 is a deficient number, since it is larger than the sum of its proper divisors (87700727455033).

212167000212167 is a wasteful number, since it uses less digits than its factorization.

212167000212167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264796.

The product of its (nonzero) digits is 28224, while the sum is 38.

Adding to 212167000212167 its reverse (761212000761212), we get a palindrome (973379000973379).

The spelling of 212167000212167 in words is "two hundred twelve trillion, one hundred sixty-seven billion, two hundred twelve thousand, one hundred sixty-seven".