211434120 has 96 divisors (see below), whose sum is σ = 690295320. Its totient is φ = 56125440.

The previous prime is 211434103. The next prime is 211434133. The reversal of 211434120 is 21434112.

211434120 is a `hidden beast` number, since 211 + 43 + 412 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 210656196 + 777924 = 14514^2 + 882^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211434093 and 211434102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85542 + ... + 87978.

Almost surely, 2^211434120 is an apocalyptic number.

211434120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345147660).

211434120 is an abundant number, since it is smaller than the sum of its proper divisors (478861200).

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

211434120 is a wasteful number, since it uses less digits than its factorization.

211434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211434120 is about 14540.7743947838. The cubic root of 211434120 is about 595.7421898937.

Adding to 211434120 its reverse (21434112), we get a palindrome (232868232).

The spelling of 211434120 in words is "two hundred eleven million, four hundred thirty-four thousand, one hundred twenty".