212129532 has 72 divisors (see below), whose sum is σ = 554181264. Its totient is φ = 68380416.

The previous prime is 212129527. The next prime is 212129539. The reversal of 212129532 is 235921212.

It is a happy number.

212129532 is a `hidden beast` number, since 2 + 1 + 2 + 129 + 532 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212129496 and 212129505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212129539) 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, 138523 + ... + 140045.

It is an arithmetic number, because the mean of its divisors is an integer number (7696962).

Almost surely, 2^212129532 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 212129532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277090632).

212129532 is an abundant number, since it is smaller than the sum of its proper divisors (342051732).

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

212129532 is a wasteful number, since it uses less digits than its factorization.

212129532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1654 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 212129532 is about 14564.6672464564. The cubic root of 212129532 is about 596.3946120235.

The spelling of 212129532 in words is "two hundred twelve million, one hundred twenty-nine thousand, five hundred thirty-two".