211200012111200 has 216 divisors, whose sum is σ = 602159871348504. Its totient is φ = 72122937600000.

The previous prime is 211200012111197. The next prime is 211200012111217. The reversal of 211200012111200 is 2111210002112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 893381 + ... + 20571780.

It is an arithmetic number, because the mean of its divisors is an integer number (2787777182169).

Almost surely, 2^{211200012111200} is an apocalyptic number.

211200012111200 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 211200012111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301079935674252).

211200012111200 is an abundant number, since it is smaller than the sum of its proper divisors (390959859237304).

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

211200012111200 is a wasteful number, since it uses less digits than its factorization.

211200012111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21465446 (or 21465426 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211200012111200 its reverse (2111210002112), we get a palindrome (213311222113312).

The spelling of 211200012111200 in words is "two hundred eleven trillion, two hundred billion, twelve million, one hundred eleven thousand, two hundred".