211312012233120 has 192 divisors, whose sum is σ = 683641161495936. Its totient is φ = 54825437122560.

The previous prime is 211312012233071. The next prime is 211312012233211. The reversal of 211312012233120 is 21332210213112.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770593635 + ... + 770867805.

It is an arithmetic number, because the mean of its divisors is an integer number (3560631049458).

Almost surely, 2^{211312012233120} is an apocalyptic number.

211312012233120 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 211312012233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341820580747968).

211312012233120 is an abundant number, since it is smaller than the sum of its proper divisors (472329149262816).

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

211312012233120 is a wasteful number, since it uses less digits than its factorization.

211312012233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317623 (or 317615 counting only the distinct ones).

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

Adding to 211312012233120 its reverse (21332210213112), we get a palindrome (232644222446232).

The spelling of 211312012233120 in words is "two hundred eleven trillion, three hundred twelve billion, twelve million, two hundred thirty-three thousand, one hundred twenty".