212128906560 has 224 divisors, whose sum is σ = 678797159040. Its totient is φ = 56125267968.

The previous prime is 212128906553. The next prime is 212128906571. The reversal of 212128906560 is 65609821212.

212128906560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212128906560² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 79239942 + ... + 79242618.

It is an arithmetic number, because the mean of its divisors is an integer number (3030344460).

Almost surely, 2^212128906560 is an apocalyptic number.

212128906560 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 212128906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339398579520).

212128906560 is an abundant number, since it is smaller than the sum of its proper divisors (466668252480).

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

212128906560 is a wasteful number, since it uses less digits than its factorization.

212128906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 212128906560 in words is "two hundred twelve billion, one hundred twenty-eight million, nine hundred six thousand, five hundred sixty".