211001001211120 has 40 divisors (see below), whose sum is σ = 490578160206960. Its totient is φ = 84400257277440.

The previous prime is 211001001211097. The next prime is 211001001211127. The reversal of 211001001211120 is 21112100100112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 211001001211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001001211127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53977875 + ... + 57754765.

It is an arithmetic number, because the mean of its divisors is an integer number (12264454005174).

Almost surely, 2^{211001001211120} is an apocalyptic number.

211001001211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001001211120 is an abundant number, since it is smaller than the sum of its proper divisors (279577158995840).

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

211001001211120 is a wasteful number, since it uses less digits than its factorization.

211001001211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475233 (or 4475227 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211001001211120 its reverse (21112100100112), we get a palindrome (232113101311232).

The spelling of 211001001211120 in words is "two hundred eleven trillion, one billion, one million, two hundred eleven thousand, one hundred twenty".