211003200000 has 360 divisors, whose sum is σ = 761215130676. Its totient is φ = 56263680000.

The previous prime is 211003199999. The next prime is 211003200053. The reversal of 211003200000 is 2300112.

It is a happy number.

211003200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7291793664 + 203711406336 = 85392^2 + 451344^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14392674 + ... + 14407326.

Almost surely, 2^211003200000 is an apocalyptic number.

211003200000 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 211003200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380607565338).

211003200000 is an abundant number, since it is smaller than the sum of its proper divisors (550211930676).

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

211003200000 is an frugal number, since it uses more digits than its factorization.

211003200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14702 (or 14663 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 211003200000 its reverse (2300112), we get a palindrome (211005500112).

The spelling of 211003200000 in words is "two hundred eleven billion, three million, two hundred thousand".