212329689600 has 480 divisors, whose sum is σ = 803734272000. Its totient is φ = 48404643840.

The previous prime is 212329689511. The next prime is 212329689601. The reversal of 212329689600 is 6986923212.

It is a happy number.

212329689600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 212329689600.

It is not an unprimeable number, because it can be changed into a prime (212329689601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134130409 + ... + 134131991.

It is an arithmetic number, because the mean of its divisors is an integer number (1674446400).

Almost surely, 2^212329689600 is an apocalyptic number.

212329689600 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 212329689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401867136000).

212329689600 is an abundant number, since it is smaller than the sum of its proper divisors (591404582400).

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

212329689600 is a wasteful number, since it uses less digits than its factorization.

212329689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 212329689600 in words is "two hundred twelve billion, three hundred twenty-nine million, six hundred eighty-nine thousand, six hundred".