211441134000 has 80 divisors (see below), whose sum is σ = 681686235360. Its totient is φ = 56384300800.

The previous prime is 211441133987. The next prime is 211441134001. The reversal of 211441134000 is 431144112.

211441134000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (211441134001) 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, 17614095 + ... + 17626094.

It is an arithmetic number, because the mean of its divisors is an integer number (8521077942).

Almost surely, 2^211441134000 is an apocalyptic number.

211441134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211441134000 is an abundant number, since it is smaller than the sum of its proper divisors (470245101360).

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

211441134000 is a wasteful number, since it uses less digits than its factorization.

211441134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35240215 (or 35240199 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 211441134000 its reverse (431144112), we get a palindrome (211872278112).

The spelling of 211441134000 in words is "two hundred eleven billion, four hundred forty-one million, one hundred thirty-four thousand".