212132032 has 56 divisors (see below), whose sum is σ = 492861600. Its totient is φ = 88688640.

The previous prime is 212132021. The next prime is 212132047. The reversal of 212132032 is 230231212.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212131997 and 212132015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12594 + ... + 24142.

It is an arithmetic number, because the mean of its divisors is an integer number (8801100).

Almost surely, 2^212132032 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 212132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246430800).

212132032 is an abundant number, since it is smaller than the sum of its proper divisors (280729568).

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

212132032 is a wasteful number, since it uses less digits than its factorization.

212132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11609 (or 11599 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 212132032 is about 14564.7530703407. The cubic root of 212132032 is about 596.3969549012.

Adding to 212132032 its reverse (230231212), we get a palindrome (442363244).

The spelling of 212132032 in words is "two hundred twelve million, one hundred thirty-two thousand, thirty-two".