211412201141232 has 720 divisors, whose sum is σ = 752572935249408. Its totient is φ = 54903566914560.

The previous prime is 211412201141227. The next prime is 211412201141249. The reversal of 211412201141232 is 232141102214112.

211412201141232 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 12 + 201 + 1 + 412 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 211412201141196 and 211412201141205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5359922503 + ... + 5359961945.

Almost surely, 2^{211412201141232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211412201141232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376286467624704).

211412201141232 is an abundant number, since it is smaller than the sum of its proper divisors (541160734108176).

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

211412201141232 is a wasteful number, since it uses less digits than its factorization.

211412201141232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40378 (or 40362 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 211412201141232 its reverse (232141102214112), we get a palindrome (443553303355344).

The spelling of 211412201141232 in words is "two hundred eleven trillion, four hundred twelve billion, two hundred one million, one hundred forty-one thousand, two hundred thirty-two".