211321420 has 48 divisors (see below), whose sum is σ = 482227200. Its totient is φ = 77492160.

The previous prime is 211321381. The next prime is 211321423. The reversal of 211321420 is 24123112.

It is a junction number, because it is equal to n+sod(n) for n = 211321394 and 211321403.

It is not an unprimeable number, because it can be changed into a prime (211321423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2811 + ... + 20749.

It is an arithmetic number, because the mean of its divisors is an integer number (10046400).

Almost surely, 2^211321420 is an apocalyptic number.

211321420 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 211321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241113600).

211321420 is an abundant number, since it is smaller than the sum of its proper divisors (270905780).

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

211321420 is a wasteful number, since it uses less digits than its factorization.

211321420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17998 (or 17996 counting only the distinct ones).

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

The square root of 211321420 is about 14536.8985688145. The cubic root of 211321420 is about 595.6363222796.

Adding to 211321420 its reverse (24123112), we get a palindrome (235444532).

The spelling of 211321420 in words is "two hundred eleven million, three hundred twenty-one thousand, four hundred twenty".