211141323404200 has 576 divisors, whose sum is σ = 620289531072000. Its totient is φ = 65377831034880.

The previous prime is 211141323404197. The next prime is 211141323404201. The reversal of 211141323404200 is 2404323141112.

It is a happy number.

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 (211141323404201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1157780224 + ... + 1157962576.

It is an arithmetic number, because the mean of its divisors is an integer number (1076891547000).

Almost surely, 2^{211141323404200} is an apocalyptic number.

211141323404200 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 211141323404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310144765536000).

211141323404200 is an abundant number, since it is smaller than the sum of its proper divisors (409148207667800).

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

211141323404200 is a wasteful number, since it uses less digits than its factorization.

211141323404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182522 (or 182494 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 211141323404200 its reverse (2404323141112), we get a palindrome (213545646545312).

The spelling of 211141323404200 in words is "two hundred eleven trillion, one hundred forty-one billion, three hundred twenty-three million, four hundred four thousand, two hundred".