212971120608 has 96 divisors (see below), whose sum is σ = 567889926912. Its totient is φ = 69871155200.

The previous prime is 212971120591. The next prime is 212971120651. The reversal of 212971120608 is 806021179212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4015543 + ... + 4068233.

It is an arithmetic number, because the mean of its divisors is an integer number (5915520072).

Almost surely, 2^212971120608 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 212971120608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283944963456).

212971120608 is an abundant number, since it is smaller than the sum of its proper divisors (354918806304).

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

212971120608 is a wasteful number, since it uses less digits than its factorization.

212971120608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53368 (or 53360 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 212971120608 in words is "two hundred twelve billion, nine hundred seventy-one million, one hundred twenty thousand, six hundred eight".