212021134560 has 144 divisors (see below), whose sum is σ = 724351432896. Its totient is φ = 56474164224.

The previous prime is 212021134529. The next prime is 212021134561. The reversal of 212021134560 is 65431120212.

212021134560 is a `hidden beast` number, since 2 + 1 + 202 + 1 + 1 + 3 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021134561) 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, 1178937 + ... + 1346823.

It is an arithmetic number, because the mean of its divisors is an integer number (5030218284).

Almost surely, 2^212021134560 is an apocalyptic number.

212021134560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362175716448).

212021134560 is an abundant number, since it is smaller than the sum of its proper divisors (512330298336).

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

212021134560 is a wasteful number, since it uses less digits than its factorization.

212021134560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168785 (or 168774 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 212021134560 its reverse (65431120212), we get a palindrome (277452254772).

The spelling of 212021134560 in words is "two hundred twelve billion, twenty-one million, one hundred thirty-four thousand, five hundred sixty".