211465120 has 24 divisors (see below), whose sum is σ = 499586724. Its totient is φ = 84585984.

The previous prime is 211465109. The next prime is 211465127. The reversal of 211465120 is 21564112.

It can be written as a sum of positive squares in 2 ways, for example, as 204261264 + 7203856 = 14292^2 + 2684^2 .

It is a super-2 number, since 2×211465120² = 89434993953228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211465091 and 211465100.

It is not an unprimeable number, because it can be changed into a prime (211465127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 660669 + ... + 660988.

Almost surely, 2^211465120 is an apocalyptic number.

211465120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211465120 is an abundant number, since it is smaller than the sum of its proper divisors (288121604).

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

211465120 is a wasteful number, since it uses less digits than its factorization.

211465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321672 (or 1321664 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 211465120 is about 14541.8403237004. The cubic root of 211465120 is about 595.7713039354.

The spelling of 211465120 in words is "two hundred eleven million, four hundred sixty-five thousand, one hundred twenty".