211112002120000 has 140 divisors (see below), whose sum is σ = 525161674311076. Its totient is φ = 84175004160000.

The previous prime is 211112002119989. The next prime is 211112002120001. The reversal of 211112002120000 is 21200211112.

It can be written as a sum of positive squares in 10 ways, for example, as 202985671268416 + 8126330851584 = 14247304^2 + 2850672^2 .

It is a super-2 number, since 2×211112002120000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112002120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4089010 + ... + 20950990.

Almost surely, 2^{211112002120000} is an apocalyptic number.

211112002120000 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 211112002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262580837155538).

211112002120000 is an abundant number, since it is smaller than the sum of its proper divisors (314049672191076).

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

211112002120000 is an equidigital number, since it uses as much as digits as its factorization.

211112002120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16862326 (or 16862301 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211112002120000 its reverse (21200211112), we get a palindrome (211133202331112).

The spelling of 211112002120000 in words is "two hundred eleven trillion, one hundred twelve billion, two million, one hundred twenty thousand".