212728451304192 has 1152 divisors, whose sum is σ = 635374010557440. Its totient is φ = 62926387937280.

The previous prime is 212728451304157. The next prime is 212728451304227. The reversal of 212728451304192 is 291403154827212.

It is an interprime number because it is at equal distance from previous prime (212728451304157) and next prime (212728451304227).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 882690669192 + ... + 882690669432.

It is an arithmetic number, because the mean of its divisors is an integer number (551539939720).

Almost surely, 2^{212728451304192} 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 212728451304192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317687005278720).

212728451304192 is an abundant number, since it is smaller than the sum of its proper divisors (422645559253248).

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

212728451304192 is a wasteful number, since it uses less digits than its factorization.

212728451304192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 212728451304192 in words is "two hundred twelve trillion, seven hundred twenty-eight billion, four hundred fifty-one million, three hundred four thousand, one hundred ninety-two".