211320001213200 has 720 divisors, whose sum is σ = 821877804697920. Its totient is φ = 51144376320000.

The previous prime is 211320001213187. The next prime is 211320001213201. The reversal of 211320001213200 is 2312100023112.

211320001213200 is a `hidden beast` number, since 2 + 1 + 1 + 320 + 0 + 0 + 1 + 21 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×211320001213200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211320001213201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 173640098992 + ... + 173640100208.

Almost surely, 2^{211320001213200} is an apocalyptic number.

211320001213200 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 211320001213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410938902348960).

211320001213200 is an abundant number, since it is smaller than the sum of its proper divisors (610557803484720).

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

211320001213200 is a wasteful number, since it uses less digits than its factorization.

211320001213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211320001213200 its reverse (2312100023112), we get a palindrome (213632101236312).

The spelling of 211320001213200 in words is "two hundred eleven trillion, three hundred twenty billion, one million, two hundred thirteen thousand, two hundred".