211012022201200 has 120 divisors (see below), whose sum is σ = 553224036658896. Its totient is φ = 76706572032000.

The previous prime is 211012022201173. The next prime is 211012022201231. The reversal of 211012022201200 is 2102220210112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5634804 + ... + 21301996.

Almost surely, 2^{211012022201200} is an apocalyptic number.

211012022201200 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 211012022201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276612018329448).

211012022201200 is an abundant number, since it is smaller than the sum of its proper divisors (342212014457696).

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

211012022201200 is a wasteful number, since it uses less digits than its factorization.

211012022201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15670283 (or 15670272 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211012022201200 its reverse (2102220210112), we get a palindrome (213114242411312).

The spelling of 211012022201200 in words is "two hundred eleven trillion, twelve billion, twenty-two million, two hundred one thousand, two hundred".