211899312 has 120 divisors (see below), whose sum is σ = 612817920. Its totient is φ = 68315520.

The previous prime is 211899293. The next prime is 211899319. The reversal of 211899312 is 213998112.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211899319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886489 + ... + 886727.

It is an arithmetic number, because the mean of its divisors is an integer number (5106816).

Almost surely, 2^211899312 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 211899312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306408960).

211899312 is an abundant number, since it is smaller than the sum of its proper divisors (400918608).

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

211899312 is a wasteful number, since it uses less digits than its factorization.

211899312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 211899312 is about 14556.7617278020. The cubic root of 211899312 is about 596.1787821535.

The spelling of 211899312 in words is "two hundred eleven million, eight hundred ninety-nine thousand, three hundred twelve".