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220120211120000 = 275422712121157
BaseRepresentation
bin110010000011001010111010…
…111111011101111110000000
31001212101021201222112011220212
4302003022322333131332000
5212322422143021320000
62100053455021053252
764236106014112142
oct6203127277357600
91055337658464825
10220120211120000
1164156503723044
12208309313b7228
1395a9329408849
143c4dc37262c92
151a6ac726cec35
hexc832bafddf80

220120211120000 has 160 divisors (see below), whose sum is σ = 550389542499720. Its totient is φ = 87660200192000.

The previous prime is 220120211119979. The next prime is 220120211120021. The reversal of 220120211120000 is 21112021022.

It is an interprime number because it is at equal distance from previous prime (220120211119979) and next prime (220120211120021).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12099422 + ... + 24220578.

Almost surely, 2220120211120000 is an apocalyptic number.

220120211120000 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 220120211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275194771249860).

220120211120000 is an abundant number, since it is smaller than the sum of its proper divisors (330269331379720).

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

220120211120000 is an equidigital number, since it uses as much as digits as its factorization.

220120211120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12121418 (or 12121391 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220120211120000 its reverse (21112021022), we get a palindrome (220141323141022).

The spelling of 220120211120000 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 227 250 320 400 454 500 625 640 800 908 1000 1135 1250 1600 1816 2000 2270 2500 3200 3632 4000 4540 5000 5675 7264 8000 9080 10000 11350 14528 16000 18160 20000 22700 28375 29056 36320 40000 45400 56750 72640 80000 90800 113500 141875 145280 181600 227000 283750 363200 454000 567500 726400 908000 1135000 1816000 2270000 3632000 4540000 9080000 12121157 18160000 24242314 48484628 60605785 96969256 121211570 193938512 242423140 303028925 387877024 484846280 606057850 775754048 969692560 1212115700 1515144625 1551508096 1939385120 2424231400 2751502639 3030289250 3878770240 4848462800 5503005278 6060578500 7575723125 7757540480 9696925600 11006010556 12121157000 13757513195 15151446250 19393851200 22012021112 24242314000 27515026390 30302892500 38787702400 44024042224 48484628000 55030052780 60605785000 68787565975 88048084448 96969256000 110060105560 121211570000 137575131950 176096168896 193938512000 220120211120 242423140000 275150263900 343937829875 352192337792 440240422240 484846280000 550300527800 687875659750 880480844480 969692560000 1100601055600 1375751319500 1719689149375 1760961688960 2201202111200 2751502639000 3439378298750 4402404222400 5503005278000 6878756597500 8804808444800 11006010556000 13757513195000 22012021112000 27515026390000 44024042224000 55030052780000 110060105560000 220120211120000