212312752128 has 320 divisors, whose sum is σ = 650111394240. Its totient is φ = 69009408000.

The previous prime is 212312752121. The next prime is 212312752133. The reversal of 212312752128 is 821257213212.

212312752128 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 127 + 521 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212312752092 and 212312752101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212312752121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 108821553 + ... + 108823503.

It is an arithmetic number, because the mean of its divisors is an integer number (2031598107).

Almost surely, 2^212312752128 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 212312752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325055697120).

212312752128 is an abundant number, since it is smaller than the sum of its proper divisors (437798642112).

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

212312752128 is an frugal number, since it uses more digits than its factorization.

212312752128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 1997 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 212312752128 in words is "two hundred twelve billion, three hundred twelve million, seven hundred fifty-two thousand, one hundred twenty-eight".