211038912 has 224 divisors, whose sum is σ = 721766400. Its totient is φ = 59222016.

The previous prime is 211038911. The next prime is 211038937. The reversal of 211038912 is 219830112.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (211038911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882889 + ... + 883127.

Almost surely, 2^211038912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211038912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360883200).

211038912 is an abundant number, since it is smaller than the sum of its proper divisors (510727488).

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

211038912 is a wasteful number, since it uses less digits than its factorization.

211038912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 211038912 is about 14527.1783908645. The cubic root of 211038912 is about 595.3707756579.

The spelling of 211038912 in words is "two hundred eleven million, thirty-eight thousand, nine hundred twelve".