211020333210312 has 64 divisors (see below), whose sum is σ = 527666818089600. Its totient is φ = 70324647782400.

The previous prime is 211020333210259. The next prime is 211020333210319. The reversal of 211020333210312 is 213012333020112.

It is a super-2 number, since 2×211020333210312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (211020333210319) 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, 3918132888 + ... + 3918186744.

It is an arithmetic number, because the mean of its divisors is an integer number (8244794032650).

Almost surely, 2^{211020333210312} is an apocalyptic number.

It is an amenable number.

211020333210312 is an abundant number, since it is smaller than the sum of its proper divisors (316646484879288).

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

211020333210312 is a wasteful number, since it uses less digits than its factorization.

211020333210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86726 (or 86722 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 211020333210312 its reverse (213012333020112), we get a palindrome (424032666230424).

The spelling of 211020333210312 in words is "two hundred eleven trillion, twenty billion, three hundred thirty-three million, two hundred ten thousand, three hundred twelve".