211342120 has 96 divisors (see below), whose sum is σ = 531528480. Its totient is φ = 74997120.

The previous prime is 211342093. The next prime is 211342121. The reversal of 211342120 is 21243112.

It is a junction number, because it is equal to n+sod(n) for n = 211342094 and 211342103.

It is not an unprimeable number, because it can be changed into a prime (211342121) 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, 1975107 + ... + 1975213.

It is an arithmetic number, because the mean of its divisors is an integer number (5536755).

Almost surely, 2^211342120 is an apocalyptic number.

211342120 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 211342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265764240).

211342120 is an abundant number, since it is smaller than the sum of its proper divisors (320186360).

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

211342120 is a wasteful number, since it uses less digits than its factorization.

211342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 211342120 is about 14537.6105326838. The cubic root of 211342120 is about 595.6557701729.

Adding to 211342120 its reverse (21243112), we get a palindrome (232585232).

The spelling of 211342120 in words is "two hundred eleven million, three hundred forty-two thousand, one hundred twenty".