212302120032000 has 864 divisors, whose sum is σ = 794506005646080. Its totient is φ = 54386314444800.

The previous prime is 212302120031959. The next prime is 212302120032001. The reversal of 212302120032000 is 230021203212.

212302120032000 is a `hidden beast` number, since 2 + 123 + 0 + 21 + 200 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212302120032001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 841697904 + ... + 841950096.

Almost surely, 2^{212302120032000} is an apocalyptic number.

212302120032000 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 212302120032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397253002823040).

212302120032000 is an abundant number, since it is smaller than the sum of its proper divisors (582203885614080).

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

212302120032000 is a wasteful number, since it uses less digits than its factorization.

212302120032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252346 (or 252319 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212302120032000 its reverse (230021203212), we get a palindrome (212532141235212).

The spelling of 212302120032000 in words is "two hundred twelve trillion, three hundred two billion, one hundred twenty million, thirty-two thousand".