211252431200 has 144 divisors (see below), whose sum is σ = 546364030464. Its totient is φ = 79485542400.

The previous prime is 211252431193. The next prime is 211252431211. The reversal of 211252431200 is 2134252112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33684065 + ... + 33690335.

It is an arithmetic number, because the mean of its divisors is an integer number (3794194656).

Almost surely, 2^211252431200 is an apocalyptic number.

211252431200 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 211252431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273182015232).

211252431200 is an abundant number, since it is smaller than the sum of its proper divisors (335111599264).

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

211252431200 is a wasteful number, since it uses less digits than its factorization.

211252431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8785 (or 8772 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 211252431200 its reverse (2134252112), we get a palindrome (213386683312).

The spelling of 211252431200 in words is "two hundred eleven billion, two hundred fifty-two million, four hundred thirty-one thousand, two hundred".