211204141402112 has 192 divisors, whose sum is σ = 432153273988800. Its totient is φ = 103169560412160.

The previous prime is 211204141402057. The next prime is 211204141402127.

It is a happy number.

211204141402112 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23232218687 + ... + 23232227777.

It is an arithmetic number, because the mean of its divisors is an integer number (2250798302025).

Almost surely, 2^{211204141402112} 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 211204141402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216076636994400).

211204141402112 is an abundant number, since it is smaller than the sum of its proper divisors (220949132586688).

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

211204141402112 is an equidigital number, since it uses as much as digits as its factorization.

211204141402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10702 (or 10682 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 211204141402112 in words is "two hundred eleven trillion, two hundred four billion, one hundred forty-one million, four hundred two thousand, one hundred twelve".