211241141431012 has 192 divisors, whose sum is σ = 489692286623232. Its totient is φ = 77350740480000.

The previous prime is 211241141431009. The next prime is 211241141431013. The reversal of 211241141431012 is 210134141142112.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (211241141431013) 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, 44952678 + ... + 49428994.

It is an arithmetic number, because the mean of its divisors is an integer number (2550480659496).

Almost surely, 2^{211241141431012} is an apocalyptic number.

211241141431012 is a gapful number since it is divisible by the number (22) 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 211241141431012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244846143311616).

211241141431012 is an abundant number, since it is smaller than the sum of its proper divisors (278451145192220).

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

211241141431012 is a wasteful number, since it uses less digits than its factorization.

211241141431012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476518 (or 4476516 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 211241141431012 its reverse (210134141142112), we get a palindrome (421375282573124).

The spelling of 211241141431012 in words is "two hundred eleven trillion, two hundred forty-one billion, one hundred forty-one million, four hundred thirty-one thousand, twelve".