211341312000 has 1920 divisors, whose sum is σ = 987156850680. Its totient is φ = 44590694400.

The previous prime is 211341311989. The next prime is 211341312001. The reversal of 211341312000 is 213143112.

211341312000 is a `hidden beast` number, since 2 + 11 + 341 + 312 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28677390336 + 182663921664 = 169344^2 + 427392^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211341312001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16257023994 + ... + 16257024006.

Almost surely, 2^211341312000 is an apocalyptic number.

211341312000 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 211341312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493578425340).

211341312000 is an abundant number, since it is smaller than the sum of its proper divisors (775815538680).

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

211341312000 is an frugal number, since it uses more digits than its factorization.

211341312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211341312000 its reverse (213143112), we get a palindrome (211554455112).

The spelling of 211341312000 in words is "two hundred eleven billion, three hundred forty-one million, three hundred twelve thousand".