211432241002000 has 80 divisors (see below), whose sum is σ = 511264927508400. Its totient is φ = 84569295283200.

The previous prime is 211432241001967. The next prime is 211432241002051. The reversal of 211432241002000 is 200142234112.

It can be written as a sum of positive squares in 8 ways, for example, as 81888599789824 + 129543641212176 = 9049232^2 + 11381724^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 44979106 + ... + 49456894.

It is an arithmetic number, because the mean of its divisors is an integer number (6390811593855).

Almost surely, 2^{211432241002000} is an apocalyptic number.

211432241002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211432241002000 is an abundant number, since it is smaller than the sum of its proper divisors (299832686506400).

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

211432241002000 is a wasteful number, since it uses less digits than its factorization.

211432241002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501421 (or 4501405 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 211432241002000 its reverse (200142234112), we get a palindrome (211632383236112).

The spelling of 211432241002000 in words is "two hundred eleven trillion, four hundred thirty-two billion, two hundred forty-one million, two thousand".