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220110112121120 = 2551313118111813779
BaseRepresentation
bin110010000011000001100001…
…000010110110000100100000
31001212100022200011110212212022
4302003001201002312010200
5212322241002200333440
62100045104540321012
764235300525044544
oct6203014102660440
91055308604425768
10220110112121120
11641521a1040781
122082a993243168
1395a83aa068470
143c4d559ccda24
151a6a880cb8cb5
hexc830610b6120

220110112121120 has 384 divisors, whose sum is σ = 568034130343680. Its totient is φ = 80116328448000.

The previous prime is 220110112121063. The next prime is 220110112121131. The reversal of 220110112121120 is 21121211011022.

It is a super-2 number, since 2×2201101121211202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58245595391 + ... + 58245599169.

It is an arithmetic number, because the mean of its divisors is an integer number (1479255547770).

Almost surely, 2220110112121120 is an apocalyptic number.

220110112121120 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 220110112121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284017065171840).

220110112121120 is an abundant number, since it is smaller than the sum of its proper divisors (347924018222560).

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

220110112121120 is a wasteful number, since it uses less digits than its factorization.

220110112121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 220110112121120 its reverse (21121211011022), we get a palindrome (241231323132142).

The spelling of 220110112121120 in words is "two hundred twenty trillion, one hundred ten billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".