212321132000 has 192 divisors, whose sum is σ = 527309310528. Its totient is φ = 84015360000.

The previous prime is 212321131993. The next prime is 212321132011. The reversal of 212321132000 is 231123212.

It is a super-2 number, since 2×212321132000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212321132000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321211670 + ... + 321212330.

It is an arithmetic number, because the mean of its divisors is an integer number (2746402659).

Almost surely, 2^212321132000 is an apocalyptic number.

212321132000 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 212321132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263654655264).

212321132000 is an abundant number, since it is smaller than the sum of its proper divisors (314988178528).

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

212321132000 is a wasteful number, since it uses less digits than its factorization.

212321132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212321132000 its reverse (231123212), we get a palindrome (212552255212).

The spelling of 212321132000 in words is "two hundred twelve billion, three hundred twenty-one million, one hundred thirty-two thousand".