212001312 has 48 divisors (see below), whose sum is σ = 574463232. Its totient is φ = 68386560.

The previous prime is 212001311. The next prime is 212001313. The reversal of 212001312 is 213100212.

212001312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212001311) and next prime (212001313).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212001311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32643 + ... + 38594.

It is an arithmetic number, because the mean of its divisors is an integer number (11967984).

Almost surely, 2^212001312 is an apocalyptic number.

It is an amenable number.

212001312 is an abundant number, since it is smaller than the sum of its proper divisors (362461920).

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

212001312 is a wasteful number, since it uses less digits than its factorization.

212001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71281 (or 71273 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212001312 is about 14560.2648327563. The cubic root of 212001312 is about 596.2744258197.

212001312 divided by its product of nonzero digits (24) gives a palindrome (8833388).

Adding to 212001312 its reverse (213100212), we get a palindrome (425101524).

The spelling of 212001312 in words is "two hundred twelve million, one thousand, three hundred twelve".