220121200111122 has 96 divisors (see below), whose sum is σ = 504596863742400. Its totient is φ = 69156682568064.

The previous prime is 220121200111093. The next prime is 220121200111151. The reversal of 220121200111122 is 221111002121022.

220121200111122 is a `hidden beast` number, since 220 + 1 + 212 + 0 + 0 + 111 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (220121200111093) and next prime (220121200111151).

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 = 220121200111095 and 220121200111104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3666395688 + ... + 3666455724.

It is an arithmetic number, because the mean of its divisors is an integer number (5256217330650).

Almost surely, 2^{220121200111122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220121200111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252298431871200).

220121200111122 is an abundant number, since it is smaller than the sum of its proper divisors (284475663631278).

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

220121200111122 is a wasteful number, since it uses less digits than its factorization.

220121200111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114680 (or 114677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220121200111122 its reverse (221111002121022), we get a palindrome (441232202232144).

The spelling of 220121200111122 in words is "two hundred twenty trillion, one hundred twenty-one billion, two hundred million, one hundred eleven thousand, one hundred twenty-two".