211334120206300 has 324 divisors, whose sum is σ = 578034354839760. Its totient is φ = 66840455485440.

The previous prime is 211334120206291. The next prime is 211334120206331. The reversal of 211334120206300 is 3602021433112.

It is a happy number.

It is a super-2 number, since 2×211334120206300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1290926052 + ... + 1291089748.

It is an arithmetic number, because the mean of its divisors is an integer number (1784056650740).

Almost surely, 2^{211334120206300} is an apocalyptic number.

211334120206300 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 211334120206300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289017177419880).

211334120206300 is an abundant number, since it is smaller than the sum of its proper divisors (366700234633460).

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

211334120206300 is a wasteful number, since it uses less digits than its factorization.

211334120206300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165310 (or 165283 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 211334120206300 its reverse (3602021433112), we get a palindrome (214936141639412).

The spelling of 211334120206300 in words is "two hundred eleven trillion, three hundred thirty-four billion, one hundred twenty million, two hundred six thousand, three hundred".