212201242000 has 160 divisors (see below), whose sum is σ = 592675709184. Its totient is φ = 72624896000.

The previous prime is 212201241991. The next prime is 212201242013. The reversal of 212201242000 is 242102212.

212201242000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 90309 + ... + 657691.

Almost surely, 2^212201242000 is an apocalyptic number.

212201242000 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 212201242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296337854592).

212201242000 is an abundant number, since it is smaller than the sum of its proper divisors (380474467184).

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

212201242000 is a wasteful number, since it uses less digits than its factorization.

212201242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567434 (or 567418 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212201242000 its reverse (242102212), we get a palindrome (212443344212).

The spelling of 212201242000 in words is "two hundred twelve billion, two hundred one million, two hundred forty-two thousand".