212329516032 has 132 divisors (see below), whose sum is σ = 613354171456. Its totient is φ = 70746808320.

The previous prime is 212329516013. The next prime is 212329516057. The reversal of 212329516032 is 230615923212.

212329516032 is a `hidden beast` number, since 2 + 1 + 23 + 29 + 5 + 1 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39266673 + ... + 39272079.

Almost surely, 2^212329516032 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 212329516032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306677085728).

212329516032 is an abundant number, since it is smaller than the sum of its proper divisors (401024655424).

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

212329516032 is a wasteful number, since it uses less digits than its factorization.

212329516032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9694 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 212329516032 in words is "two hundred twelve billion, three hundred twenty-nine million, five hundred sixteen thousand, thirty-two".