212180007 has 24 divisors (see below), whose sum is σ = 307369728. Its totient is φ = 130135200.

The previous prime is 212179999. The next prime is 212180029. The reversal of 212180007 is 700081212.

212180007 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 212180007 - 2³ = 212179999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212180047) 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, 218032 + ... + 219002.

It is an arithmetic number, because the mean of its divisors is an integer number (12807072).

Almost surely, 2^212180007 is an apocalyptic number.

212180007 is a deficient number, since it is larger than the sum of its proper divisors (95189721).

212180007 is a wasteful number, since it uses less digits than its factorization.

212180007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 212180007 is about 14566.3999327219. The cubic root of 212180007 is about 596.4419111595.

It can be divided in two parts, 2121 and 80007, that added together give a palindrome (82128).

The spelling of 212180007 in words is "two hundred twelve million, one hundred eighty thousand, seven".