211312200000 has 672 divisors, whose sum is σ = 772332817536. Its totient is φ = 50560000000.

The previous prime is 211312199951. The next prime is 211312200007. The reversal of 211312200000 is 2213112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211312200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666599842 + ... + 666600158.

It is an arithmetic number, because the mean of its divisors is an integer number (1149304788).

Almost surely, 2^211312200000 is an apocalyptic number.

211312200000 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 211312200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386166408768).

211312200000 is an abundant number, since it is smaller than the sum of its proper divisors (561020617536).

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

211312200000 is a wasteful number, since it uses less digits than its factorization.

211312200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211312200000 its reverse (2213112), we get a palindrome (211314413112).

The spelling of 211312200000 in words is "two hundred eleven billion, three hundred twelve million, two hundred thousand".