212945703304320 has 1024 divisors, whose sum is σ = 899968227840000. Its totient is φ = 47541309419520.

The previous prime is 212945703304309. The next prime is 212945703304333. The reversal of 212945703304320 is 23403307549212.

212945703304320 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 4 + 570 + 3 + 30 + 43 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 254444955 + ... + 255280485.

It is an arithmetic number, because the mean of its divisors is an integer number (878875222500).

Almost surely, 2^{212945703304320} is an apocalyptic number.

212945703304320 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 212945703304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449984113920000).

212945703304320 is an abundant number, since it is smaller than the sum of its proper divisors (687022524535680).

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

212945703304320 is an equidigital number, since it uses as much as digits as its factorization.

212945703304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835623 (or 835591 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 212945703304320 in words is "two hundred twelve trillion, nine hundred forty-five billion, seven hundred three million, three hundred four thousand, three hundred twenty".