212653389312 has 1920 divisors, whose sum is σ = 877743820800. Its totient is φ = 50164531200.

The previous prime is 212653389287. The next prime is 212653389349. The reversal of 212653389312 is 213983356212.

212653389312 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 533 + 89 + 31 + 2 = 666.

212653389312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5186668012 + ... + 5186668052.

It is an arithmetic number, because the mean of its divisors is an integer number (457158240).

Almost surely, 2^212653389312 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 212653389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438871910400).

212653389312 is an abundant number, since it is smaller than the sum of its proper divisors (665090431488).

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

212653389312 is a wasteful number, since it uses less digits than its factorization.

212653389312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 212653389312 in words is "two hundred twelve billion, six hundred fifty-three million, three hundred eighty-nine thousand, three hundred twelve".