212120007 has 48 divisors (see below), whose sum is σ = 334454400. Its totient is φ = 118444480.

The previous prime is 212120003. The next prime is 212120017. The reversal of 212120007 is 700021212.

212120007 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 212120007 - 2² = 212120003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506044 + ... + 506462.

It is an arithmetic number, because the mean of its divisors is an integer number (6967800).

Almost surely, 2^212120007 is an apocalyptic number.

212120007 is a deficient number, since it is larger than the sum of its proper divisors (122334393).

212120007 is a wasteful number, since it uses less digits than its factorization.

212120007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 212120007 is about 14564.3402528230. The cubic root of 212120007 is about 596.3856854906.

Adding to 212120007 its reverse (700021212), we get a palindrome (912141219).

The spelling of 212120007 in words is "two hundred twelve million, one hundred twenty thousand, seven".