213212120000 has 280 divisors, whose sum is σ = 580301081712. Its totient is φ = 77056000000.

The previous prime is 213212119999. The next prime is 213212120003. The reversal of 213212120000 is 21212312.

It is a happy number.

It is a super-2 number, since 2×213212120000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213212120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76118600 + ... + 76121400.

Almost surely, 2^213212120000 is an apocalyptic number.

213212120000 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 213212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290150540856).

213212120000 is an abundant number, since it is smaller than the sum of its proper divisors (367088961712).

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

213212120000 is a wasteful number, since it uses less digits than its factorization.

213212120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 213212120000 its reverse (21212312), we get a palindrome (213233332312).

The spelling of 213212120000 in words is "two hundred thirteen billion, two hundred twelve million, one hundred twenty thousand".