212111012122128 has 480 divisors, whose sum is σ = 717625259520000. Its totient is φ = 57132349498368.

The previous prime is 212111012122103. The next prime is 212111012122129. The reversal of 212111012122128 is 821221210111212.

212111012122128 is a `hidden beast` number, since 2 + 121 + 110 + 1 + 212 + 212 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (212111012122129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8942650653 + ... + 8942674371.

It is an arithmetic number, because the mean of its divisors is an integer number (1495052624000).

Almost surely, 2^{212111012122128} is an apocalyptic number.

212111012122128 is a gapful number since it is divisible by the number (28) 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 212111012122128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358812629760000).

212111012122128 is an abundant number, since it is smaller than the sum of its proper divisors (505514247397872).

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

212111012122128 is a wasteful number, since it uses less digits than its factorization.

212111012122128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26027 (or 26018 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The spelling of 212111012122128 in words is "two hundred twelve trillion, one hundred eleven billion, twelve million, one hundred twenty-two thousand, one hundred twenty-eight".