212011211232 has 288 divisors, whose sum is σ = 639465974784. Its totient is φ = 66537676800.

The previous prime is 212011211201. The next prime is 212011211281. The reversal of 212011211232 is 232112110212.

212011211232 is a `hidden beast` number, since 21 + 201 + 1 + 211 + 232 = 666.

212011211232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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, 55483882 + ... + 55487702.

It is an arithmetic number, because the mean of its divisors is an integer number (2220367968).

Almost surely, 2^212011211232 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 212011211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319732987392).

212011211232 is an abundant number, since it is smaller than the sum of its proper divisors (427454763552).

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

212011211232 is a wasteful number, since it uses less digits than its factorization.

212011211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212011211232 its reverse (232112110212), we get a palindrome (444123321444).

The spelling of 212011211232 in words is "two hundred twelve billion, eleven million, two hundred eleven thousand, two hundred thirty-two".