211201000 has 64 divisors (see below), whose sum is σ = 498401280. Its totient is φ = 83764800.

The previous prime is 211200989. The next prime is 211201007. The reversal of 211201000 is 102112.

211201000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211201007) 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, 126169 + ... + 127831.

It is an arithmetic number, because the mean of its divisors is an integer number (7787520).

Almost surely, 2^211201000 is an apocalyptic number.

211201000 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 211201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249200640).

211201000 is an abundant number, since it is smaller than the sum of its proper divisors (287200280).

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

211201000 is a wasteful number, since it uses less digits than its factorization.

211201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 211201000 is about 14532.7561047449. The cubic root of 211201000 is about 595.5231610825.

Adding to 211201000 its reverse (102112), we get a palindrome (211303112).

It can be divided in two parts, 21 and 1201000, that added together give a palindrome (1201021).

The spelling of 211201000 in words is "two hundred eleven million, two hundred one thousand".