211220011312 has 80 divisors (see below), whose sum is σ = 425848775680. Its totient is φ = 101381932800.

The previous prime is 211220011253. The next prime is 211220011339. The reversal of 211220011312 is 213110022112.

It is a super-2 number, since 2×211220011312² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32140987 + ... + 32147557.

It is an arithmetic number, because the mean of its divisors is an integer number (5323109696).

Almost surely, 2^211220011312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211220011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212924387840).

211220011312 is an abundant number, since it is smaller than the sum of its proper divisors (214628764368).

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

211220011312 is a wasteful number, since it uses less digits than its factorization.

211220011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7122 (or 7116 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211220011312 its reverse (213110022112), we get a palindrome (424330033424).

The spelling of 211220011312 in words is "two hundred eleven billion, two hundred twenty million, eleven thousand, three hundred twelve".