212100312132 has 120 divisors (see below), whose sum is σ = 560896111776. Its totient is φ = 69882849792.

The previous prime is 212100312029. The next prime is 212100312139. The reversal of 212100312132 is 231213001212.

212100312132 is a `hidden beast` number, since 212 + 10 + 0 + 312 + 132 = 666.

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 (212100312139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27747103 + ... + 27754745.

Almost surely, 2^212100312132 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 212100312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280448055888).

212100312132 is an abundant number, since it is smaller than the sum of its proper divisors (348795799644).

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

212100312132 is a wasteful number, since it uses less digits than its factorization.

212100312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8639 (or 8628 counting only the distinct ones).

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

Adding to 212100312132 its reverse (231213001212), we get a palindrome (443313313344).

The spelling of 212100312132 in words is "two hundred twelve billion, one hundred million, three hundred twelve thousand, one hundred thirty-two".