20121122211876 has 480 divisors, whose sum is σ = 67053078892800. Its totient is φ = 5121977794560.

The previous prime is 20121122211823. The next prime is 20121122211877. The reversal of 20121122211876 is 67811222112102.

20121122211876 is a `hidden beast` number, since 201 + 211 + 2 + 221 + 18 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20121122211876.

It is not an unprimeable number, because it can be changed into a prime (20121122211877) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 1011660940 + ... + 1011680828.

It is an arithmetic number, because the mean of its divisors is an integer number (139693914360).

Almost surely, 2^{20121122211876} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121122211876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33526539446400).

20121122211876 is an abundant number, since it is smaller than the sum of its proper divisors (46931956680924).

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

20121122211876 is a wasteful number, since it uses less digits than its factorization.

20121122211876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21329 (or 21318 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 20121122211876 its reverse (67811222112102), we get a palindrome (87932344323978).

The spelling of 20121122211876 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, eight hundred seventy-six".