211121001120 has 96 divisors (see below), whose sum is σ = 672503549760. Its totient is φ = 55666350080.

The previous prime is 211121001079. The next prime is 211121001163. The reversal of 211121001120 is 21100121112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×211121001120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211121001096 and 211121001105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2428266 + ... + 2513705.

It is an arithmetic number, because the mean of its divisors is an integer number (7005245310).

Almost surely, 2^211121001120 is an apocalyptic number.

211121001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121001120 is an abundant number, since it is smaller than the sum of its proper divisors (461382548640).

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

211121001120 is a wasteful number, since it uses less digits than its factorization.

211121001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942078 (or 4942070 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211121001120 its reverse (21100121112), we get a palindrome (232221122232).

The spelling of 211121001120 in words is "two hundred eleven billion, one hundred twenty-one million, one thousand, one hundred twenty".