211121001111000 has 256 divisors, whose sum is σ = 677222478092160. Its totient is φ = 54718853529600.

The previous prime is 211121001110917. The next prime is 211121001111017. The reversal of 211121001111000 is 111100121112.

It is a super-2 number, since 2×211121001111000² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102992064 + ... + 105021936.

Almost surely, 2^{211121001111000} is an apocalyptic number.

211121001111000 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 211121001111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338611239046080).

211121001111000 is an abundant number, since it is smaller than the sum of its proper divisors (466101476981160).

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

211121001111000 is a wasteful number, since it uses less digits than its factorization.

211121001111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030871 (or 2030857 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211121001111000 its reverse (111100121112), we get a palindrome (211232101232112).

The spelling of 211121001111000 in words is "two hundred eleven trillion, one hundred twenty-one billion, one million, one hundred eleven thousand".