220121111111220 has 480 divisors, whose sum is σ = 754460970278400. Its totient is φ = 53280762474240.

The previous prime is 220121111111207. The next prime is 220121111111281. The reversal of 220121111111220 is 22111111121022.

It is a happy number.

220121111111220 is a `hidden beast` number, since 2 + 201 + 21 + 111 + 111 + 220 = 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 = 220121111111193 and 220121111111202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43169464231 + ... + 43169469329.

It is an arithmetic number, because the mean of its divisors is an integer number (1571793688080).

Almost surely, 2^{220121111111220} is an apocalyptic number.

220121111111220 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 220121111111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377230485139200).

220121111111220 is an abundant number, since it is smaller than the sum of its proper divisors (534339859167180).

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

220121111111220 is a wasteful number, since it uses less digits than its factorization.

220121111111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8377 (or 8366 counting only the distinct ones).

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

Adding to 220121111111220 its reverse (22111111121022), we get a palindrome (242232222232242).

The spelling of 220121111111220 in words is "two hundred twenty trillion, one hundred twenty-one billion, one hundred eleven million, one hundred eleven thousand, two hundred twenty".