211121011122120 has 384 divisors, whose sum is σ = 774373049424000. Its totient is φ = 49413309603840.

The previous prime is 211121011122089. The next prime is 211121011122121. The reversal of 211121011122120 is 21221110121112.

It is a happy number.

211121011122120 is a `hidden beast` number, since 211 + 1 + 210 + 1 + 1 + 1 + 221 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211121011122093 and 211121011122102.

It is not an unprimeable number, because it can be changed into a prime (211121011122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2794823311 + ... + 2794898849.

It is an arithmetic number, because the mean of its divisors is an integer number (2016596482875).

Almost surely, 2^{211121011122120} is an apocalyptic number.

211121011122120 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 211121011122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387186524712000).

211121011122120 is an abundant number, since it is smaller than the sum of its proper divisors (563252038301880).

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

211121011122120 is a wasteful number, since it uses less digits than its factorization.

211121011122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99933 (or 99926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211121011122120 its reverse (21221110121112), we get a palindrome (232342121243232).

The spelling of 211121011122120 in words is "two hundred eleven trillion, one hundred twenty-one billion, eleven million, one hundred twenty-two thousand, one hundred twenty".