212441131304320 has 128 divisors (see below), whose sum is σ = 516364879380480. Its totient is φ = 83560848537600.

The previous prime is 212441131304293. The next prime is 212441131304393. The reversal of 212441131304320 is 23403131144212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11300125 + ... + 23506915.

It is an arithmetic number, because the mean of its divisors is an integer number (4034100620160).

Almost surely, 2^{212441131304320} is an apocalyptic number.

212441131304320 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 212441131304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258182439690240).

212441131304320 is an abundant number, since it is smaller than the sum of its proper divisors (303923748076160).

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

212441131304320 is a wasteful number, since it uses less digits than its factorization.

212441131304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12207264 (or 12207252 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 212441131304320 its reverse (23403131144212), we get a palindrome (235844262448532).

The spelling of 212441131304320 in words is "two hundred twelve trillion, four hundred forty-one billion, one hundred thirty-one million, three hundred four thousand, three hundred twenty".