211213200132 has 288 divisors, whose sum is σ = 619890485760. Its totient is φ = 62341332480.

The previous prime is 211213200109. The next prime is 211213200139. The reversal of 211213200132 is 231002312112.

211213200132 is a `hidden beast` number, since 211 + 2 + 1 + 320 + 0 + 132 = 666.

It is a super-2 number, since 2×211213200132² (a number of 23 digits) contains 22 as substring.

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 (211213200139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71282083 + ... + 71285045.

It is an arithmetic number, because the mean of its divisors is an integer number (2152397520).

Almost surely, 2^211213200132 is an apocalyptic number.

211213200132 is a gapful number since it is divisible by the number (22) 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 211213200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309945242880).

211213200132 is an abundant number, since it is smaller than the sum of its proper divisors (408677285628).

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

211213200132 is a wasteful number, since it uses less digits than its factorization.

211213200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3151 counting only the distinct ones).

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

Adding to 211213200132 its reverse (231002312112), we get a palindrome (442215512244).

The spelling of 211213200132 in words is "two hundred eleven billion, two hundred thirteen million, two hundred thousand, one hundred thirty-two".