212041435200 has 1344 divisors, whose sum is σ = 882412093440. Its totient is φ = 43475927040.

The previous prime is 212041435171. The next prime is 212041435201. The reversal of 212041435200 is 2534140212.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (212041435201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1669617537 + ... + 1669617663.

Almost surely, 2^212041435200 is an apocalyptic number.

212041435200 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 212041435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441206046720).

212041435200 is an abundant number, since it is smaller than the sum of its proper divisors (670370658240).

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

212041435200 is a wasteful number, since it uses less digits than its factorization.

212041435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 212041435200 its reverse (2534140212), we get a palindrome (214575575412).

The spelling of 212041435200 in words is "two hundred twelve billion, forty-one million, four hundred thirty-five thousand, two hundred".