212221771328 has 224 divisors, whose sum is σ = 531126435840. Its totient is φ = 82032445440.

The previous prime is 212221771301. The next prime is 212221771337. The reversal of 212221771328 is 823177122212.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 212221771291 and 212221771300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43655618 + ... + 43660478.

It is an arithmetic number, because the mean of its divisors is an integer number (2371100160).

Almost surely, 2^212221771328 is an apocalyptic number.

212221771328 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 212221771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265563217920).

212221771328 is an abundant number, since it is smaller than the sum of its proper divisors (318904664512).

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

212221771328 is a wasteful number, since it uses less digits than its factorization.

212221771328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5135 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The spelling of 212221771328 in words is "two hundred twelve billion, two hundred twenty-one million, seven hundred seventy-one thousand, three hundred twenty-eight".