211312413312 has 512 divisors, whose sum is σ = 761233213440. Its totient is φ = 50153472000.

The previous prime is 211312413311. The next prime is 211312413317. The reversal of 211312413312 is 213314213112.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (211312413311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38820063 + ... + 38825505.

It is an arithmetic number, because the mean of its divisors is an integer number (1486783620).

Almost surely, 2^211312413312 is an apocalyptic number.

211312413312 is a gapful number since it is divisible by the number (22) 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 211312413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380616606720).

211312413312 is an abundant number, since it is smaller than the sum of its proper divisors (549920800128).

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

211312413312 is a wasteful number, since it uses less digits than its factorization.

211312413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592 (or 5580 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 211312413312 its reverse (213314213112), we get a palindrome (424626626424).

The spelling of 211312413312 in words is "two hundred eleven billion, three hundred twelve million, four hundred thirteen thousand, three hundred twelve".