212440243200 has 264 divisors, whose sum is σ = 709389356592. Its totient is φ = 56064737280.

The previous prime is 212440243177. The next prime is 212440243207. The reversal of 212440243200 is 2342044212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212440243207) 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 23 ways as a sum of consecutive naturals, for example, 7435342 + ... + 7463858.

Almost surely, 2^212440243200 is an apocalyptic number.

212440243200 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 212440243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354694678296).

212440243200 is an abundant number, since it is smaller than the sum of its proper divisors (496949113392).

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

212440243200 is a wasteful number, since it uses less digits than its factorization.

212440243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28647 (or 28624 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 212440243200 its reverse (2342044212), we get a palindrome (214782287412).

The spelling of 212440243200 in words is "two hundred twelve billion, four hundred forty million, two hundred forty-three thousand, two hundred".