220121121121020 has 432 divisors, whose sum is σ = 795725736912288. Its totient is φ = 49082022420480.

The previous prime is 220121121121001. The next prime is 220121121121037. The reversal of 220121121121020 is 20121121121022.

220121121121020 is a `hidden beast` number, since 2 + 201 + 21 + 1 + 211 + 210 + 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 = 220121121120984 and 220121121121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6307720212 + ... + 6307755108.

It is an arithmetic number, because the mean of its divisors is an integer number (1841957724334).

Almost surely, 2^{220121121121020} is an apocalyptic number.

220121121121020 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 220121121121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397862868456144).

220121121121020 is an abundant number, since it is smaller than the sum of its proper divisors (575604615791268).

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

220121121121020 is a wasteful number, since it uses less digits than its factorization.

220121121121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52410 (or 52398 counting only the distinct ones).

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

Adding to 220121121121020 its reverse (20121121121022), we get a palindrome (240242242242042).

It can be divided in two parts, 22012112 and 1121020, that added together give a palindrome (23133132).

The spelling of 220121121121020 in words is "two hundred twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, twenty".