212032012032 has 432 divisors, whose sum is σ = 672598967040. Its totient is φ = 63969067008.

The previous prime is 212032012019. The next prime is 212032012037. The reversal of 212032012032 is 230210230212.

212032012032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212032011996 and 212032012014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212032012037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112842069 + ... + 112843947.

Almost surely, 2^212032012032 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 212032012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336299483520).

212032012032 is an abundant number, since it is smaller than the sum of its proper divisors (460566955008).

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

212032012032 is a wasteful number, since it uses less digits than its factorization.

212032012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212032012032 its reverse (230210230212), we get a palindrome (442242242244).

The spelling of 212032012032 in words is "two hundred twelve billion, thirty-two million, twelve thousand, thirty-two".