211312000 has 128 divisors (see below), whose sum is σ = 538462080. Its totient is φ = 82432000.

The previous prime is 211311983. The next prime is 211312043. The reversal of 211312000 is 213112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×211312000² = 89305522688000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751860 + ... + 752140.

It is an arithmetic number, because the mean of its divisors is an integer number (4206735).

Almost surely, 2^211312000 is an apocalyptic number.

211312000 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 211312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269231040).

211312000 is an abundant number, since it is smaller than the sum of its proper divisors (327150080).

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

211312000 is an equidigital number, since it uses as much as digits as its factorization.

211312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 211312000 is about 14536.5745621174. The cubic root of 211312000 is about 595.6274716583.

Adding to 211312000 its reverse (213112), we get a palindrome (211525112).

The spelling of 211312000 in words is "two hundred eleven million, three hundred twelve thousand".