212684531872000 has 288 divisors, whose sum is σ = 574036196557824. Its totient is φ = 78207381504000.

The previous prime is 212684531871991. The next prime is 212684531872003. The reversal of 212684531872000 is 278135486212.

It is a super-2 number, since 2×212684531872000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212684531872003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18845905 + ... + 27938095.

It is an arithmetic number, because the mean of its divisors is an integer number (1993181238048).

Almost surely, 2^{212684531872000} is an apocalyptic number.

212684531872000 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 212684531872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287018098278912).

212684531872000 is an abundant number, since it is smaller than the sum of its proper divisors (361351664685824).

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

212684531872000 is an equidigital number, since it uses as much as digits as its factorization.

212684531872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092282 (or 9092258 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 212684531872000 in words is "two hundred twelve trillion, six hundred eighty-four billion, five hundred thirty-one million, eight hundred seventy-two thousand".