211105133120000 has 800 divisors, whose sum is σ = 636902112084480. Its totient is φ = 68264294400000.

The previous prime is 211105133119963. The next prime is 211105133120009. The reversal of 211105133120000 is 21331501112.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×211105133120000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (211105133120009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9661109075 + ... + 9661130925.

Almost surely, 2^{211105133120000} is an apocalyptic number.

211105133120000 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 211105133120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318451056042240).

211105133120000 is an abundant number, since it is smaller than the sum of its proper divisors (425796978964480).

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

211105133120000 is an equidigital number, since it uses as much as digits as its factorization.

211105133120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22142 (or 22111 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 211105133120000 its reverse (21331501112), we get a palindrome (211126464621112).

The spelling of 211105133120000 in words is "two hundred eleven trillion, one hundred five billion, one hundred thirty-three million, one hundred twenty thousand".