211231020 has 192 divisors, whose sum is σ = 794336256. Its totient is φ = 40504320.

The previous prime is 211230997. The next prime is 211231049. The reversal of 211231020 is 20132112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211230987 and 211231005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58302 + ... + 61818.

It is an arithmetic number, because the mean of its divisors is an integer number (4137168).

Almost surely, 2^211231020 is an apocalyptic number.

211231020 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 211231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397168128).

211231020 is an abundant number, since it is smaller than the sum of its proper divisors (583105236).

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

211231020 is a wasteful number, since it uses less digits than its factorization.

211231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 211231020 is about 14533.7889072327. The cubic root of 211231020 is about 595.5513755296.

Adding to 211231020 its reverse (20132112), we get a palindrome (231363132).

The spelling of 211231020 in words is "two hundred eleven million, two hundred thirty-one thousand, twenty".