220121120323120 has 80 divisors (see below), whose sum is σ = 518019928040160. Its totient is φ = 86975484291072.

The previous prime is 220121120322911. The next prime is 220121120323127. The reversal of 220121120323120 is 21323021121022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×220121120323120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220121120323091 and 220121120323100.

It is not an unprimeable number, because it can be changed into a prime (220121120323127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45345766 + ... + 49964794.

It is an arithmetic number, because the mean of its divisors is an integer number (6475249100502).

Almost surely, 2^{220121120323120} is an apocalyptic number.

220121120323120 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 220121120323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259009964020080).

220121120323120 is an abundant number, since it is smaller than the sum of its proper divisors (297898807717040).

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

220121120323120 is a wasteful number, since it uses less digits than its factorization.

220121120323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626302 (or 4626296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 220121120323120 its reverse (21323021121022), we get a palindrome (241444141444142).

The spelling of 220121120323120 in words is "two hundred twenty trillion, one hundred twenty-one billion, one hundred twenty million, three hundred twenty-three thousand, one hundred twenty".