211310312122120 has 64 divisors (see below), whose sum is σ = 476010653817600. Its totient is φ = 84424159491840.

The previous prime is 211310312122111. The next prime is 211310312122121. The reversal of 211310312122120 is 21221213013112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211310312122091 and 211310312122100.

It is not an unprimeable number, because it can be changed into a prime (211310312122121) 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 15 ways as a sum of consecutive naturals, for example, 261886261 + ... + 262691899.

It is an arithmetic number, because the mean of its divisors is an integer number (7437666465900).

Almost surely, 2^{211310312122120} is an apocalyptic number.

211310312122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211310312122120 is an abundant number, since it is smaller than the sum of its proper divisors (264700341695480).

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

211310312122120 is a wasteful number, since it uses less digits than its factorization.

211310312122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813398 (or 813394 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 211310312122120 its reverse (21221213013112), we get a palindrome (232531525135232).

The spelling of 211310312122120 in words is "two hundred eleven trillion, three hundred ten billion, three hundred twelve million, one hundred twenty-two thousand, one hundred twenty".