211210011300000 has 576 divisors, whose sum is σ = 705151903639680. Its totient is φ = 55335229440000.

The previous prime is 211210011299981. The next prime is 211210011300007. The reversal of 211210011300000 is 3110012112.

It is a super-2 number, since 2×211210011300000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211210011300007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49152897852 + ... + 49152902148.

It is an arithmetic number, because the mean of its divisors is an integer number (1224222054930).

Almost surely, 2^{211210011300000} is an apocalyptic number.

211210011300000 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 211210011300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352575951819840).

211210011300000 is an abundant number, since it is smaller than the sum of its proper divisors (493941892339680).

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

211210011300000 is an equidigital number, since it uses as much as digits as its factorization.

211210011300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171 (or 7143 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 211210011300000 its reverse (3110012112), we get a palindrome (211213121312112).

The spelling of 211210011300000 in words is "two hundred eleven trillion, two hundred ten billion, eleven million, three hundred thousand".