211412124424000 has 448 divisors, whose sum is σ = 554642710839360. Its totient is φ = 79700722483200.

The previous prime is 211412124423979. The next prime is 211412124424009. The reversal of 211412124424000 is 424421214112.

It can be written as a sum of positive squares in 32 ways, for example, as 77140948472064 + 134271175951936 = 8782992^2 + 11587544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 211412124424000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211412124424009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2422268362 + ... + 2422355638.

Almost surely, 2^{211412124424000} is an apocalyptic number.

211412124424000 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 211412124424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277321355419680).

211412124424000 is an abundant number, since it is smaller than the sum of its proper divisors (343230586415360).

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

211412124424000 is a wasteful number, since it uses less digits than its factorization.

211412124424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87583 (or 87563 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 211412124424000 its reverse (424421214112), we get a palindrome (211836545638112).

The spelling of 211412124424000 in words is "two hundred eleven trillion, four hundred twelve billion, one hundred twenty-four million, four hundred twenty-four thousand".