212331301000 has 512 divisors, whose sum is σ = 643458816000. Its totient is φ = 63770112000.

The previous prime is 212331300991. The next prime is 212331301001. The reversal of 212331301000 is 103133212.

212331301000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212331301001) 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 127 ways as a sum of consecutive naturals, for example, 160978341 + ... + 160979659.

It is an arithmetic number, because the mean of its divisors is an integer number (1256755500).

Almost surely, 2^212331301000 is an apocalyptic number.

212331301000 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 212331301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408000).

212331301000 is an abundant number, since it is smaller than the sum of its proper divisors (431127515000).

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

212331301000 is a wasteful number, since it uses less digits than its factorization.

212331301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 212331301000 its reverse (103133212), we get a palindrome (212434434212).

The spelling of 212331301000 in words is "two hundred twelve billion, three hundred thirty-one million, three hundred one thousand".