212242212000 has 2304 divisors, whose sum is σ = 1017925429248. Its totient is φ = 40609382400.

The previous prime is 212242211981. The next prime is 212242212001. The reversal of 212242212000 is 212242212.

212242212000 is a `hidden beast` number, since 2 + 122 + 422 + 120 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212242212001) 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 383 ways as a sum of consecutive naturals, for example, 2060603949 + ... + 2060604051.

It is an arithmetic number, because the mean of its divisors is an integer number (441807912).

Almost surely, 2^212242212000 is an apocalyptic number.

212242212000 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 212242212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508962714624).

212242212000 is an abundant number, since it is smaller than the sum of its proper divisors (805683217248).

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

212242212000 is a wasteful number, since it uses less digits than its factorization.

212242212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212242212000 its reverse (212242212), we get a palindrome (212454454212).

212242212000 divided by its reverse (212242212) gives a cube (1000 = 10³).

The spelling of 212242212000 in words is "two hundred twelve billion, two hundred forty-two million, two hundred twelve thousand".