211306120 has 16 divisors (see below), whose sum is σ = 475438860. Its totient is φ = 84522432.

The previous prime is 211306111. The next prime is 211306133. The reversal of 211306120 is 21603112.

It can be written as a sum of positive squares in 2 ways, for example, as 192487876 + 18818244 = 13874^2 + 4338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211306094 and 211306103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2641287 + ... + 2641366.

Almost surely, 2^211306120 is an apocalyptic number.

211306120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211306120 is an abundant number, since it is smaller than the sum of its proper divisors (264132740).

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

211306120 is a wasteful number, since it uses less digits than its factorization.

211306120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282664 (or 5282660 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 211306120 is about 14536.3723122380. The cubic root of 211306120 is about 595.6219469334.

Adding to 211306120 its reverse (21603112), we get a palindrome (232909232).

The spelling of 211306120 in words is "two hundred eleven million, three hundred six thousand, one hundred twenty".