211132000 has 48 divisors (see below), whose sum is σ = 518761152. Its totient is φ = 84451200.

The previous prime is 211131983. The next prime is 211132013. The reversal of 211132000 is 231112.

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22392 + ... + 30391.

It is an arithmetic number, because the mean of its divisors is an integer number (10807524).

Almost surely, 2^211132000 is an apocalyptic number.

211132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211132000 is an abundant number, since it is smaller than the sum of its proper divisors (307629152).

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

211132000 is an equidigital number, since it uses as much as digits as its factorization.

211132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52808 (or 52790 counting only the distinct ones).

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

The square root of 211132000 is about 14530.3819633209. The cubic root of 211132000 is about 595.4583009512.

Adding to 211132000 its reverse (231112), we get a palindrome (211363112).

The spelling of 211132000 in words is "two hundred eleven million, one hundred thirty-two thousand".