212808766000 has 80 divisors (see below), whose sum is σ = 519292968480. Its totient is φ = 84342470400.

The previous prime is 212808765991. The next prime is 212808766031. The reversal of 212808766000 is 667808212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270094 + ... + 706093.

It is an arithmetic number, because the mean of its divisors is an integer number (6491162106).

Almost surely, 2^212808766000 is an apocalyptic number.

212808766000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212808766000 is an abundant number, since it is smaller than the sum of its proper divisors (306484202480).

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

212808766000 is a wasteful number, since it uses less digits than its factorization.

212808766000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976319 (or 976303 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 212808766000 in words is "two hundred twelve billion, eight hundred eight million, seven hundred sixty-six thousand".