212715517212 has 72 divisors (see below), whose sum is σ = 589820121072. Its totient is φ = 64103097600.

The previous prime is 212715517207. The next prime is 212715517219.

212715517212 is a `hidden beast` number, since 2 + 1 + 27 + 1 + 551 + 72 + 12 = 666.

212715517212 is nontrivially palindromic in base 10.

212715517212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212715517219) 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, 1412193 + ... + 1555544.

It is an arithmetic number, because the mean of its divisors is an integer number (8191946126).

Almost surely, 2^212715517212 is an apocalyptic number.

212715517212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212715517212 is an abundant number, since it is smaller than the sum of its proper divisors (377104603860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212715517212 is a wasteful number, since it uses less digits than its factorization.

212715517212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967939 (or 2967934 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

It can be divided in two parts, 212715 and 517212, that added together give a palindrome (729927).

The spelling of 212715517212 in words is "two hundred twelve billion, seven hundred fifteen million, five hundred seventeen thousand, two hundred twelve".