212151205715067 has 64 divisors (see below), whose sum is σ = 327439107072000. Its totient is φ = 135638262316800.

The previous prime is 212151205715051. The next prime is 212151205715077. The reversal of 212151205715067 is 760517502151212.

212151205715067 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 5 + 1 + 20 + 571 + 50 + 6 + 7 = 666.

212151205715067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212151205715067 - 2⁴ = 212151205715051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212151205715027) 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, 1323226534 + ... + 1323386852.

It is an arithmetic number, because the mean of its divisors is an integer number (5116236048000).

Almost surely, 2^{212151205715067} is an apocalyptic number.

212151205715067 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

212151205715067 is a deficient number, since it is larger than the sum of its proper divisors (115287901356933).

212151205715067 is a wasteful number, since it uses less digits than its factorization.

212151205715067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180689 (or 180683 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

Adding to 212151205715067 its reverse (760517502151212), we get a palindrome (972668707866279).

The spelling of 212151205715067 in words is "two hundred twelve trillion, one hundred fifty-one billion, two hundred five million, seven hundred fifteen thousand, sixty-seven".