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12022120211000 = 2353192932159533
BaseRepresentation
bin1010111011110001111000…
…1101000110001000111000
31120120022012020011020202112
42232330132031012020320
53033432300233223000
641322515154551452
72350366226501414
oct256743615061070
946508166136675
1012022120211000
113915609496819
121421b73898588
136928b1410833
142d7c336d1d44
1515cac9d97235
hexaef1e346238

12022120211000 has 128 divisors (see below), whose sum is σ = 29713460212800. Its totient is φ = 4540200076800.

The previous prime is 12022120210973. The next prime is 12022120211047. The reversal of 12022120211000 is 11202122021.

12022120211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4487234 + ... + 6646766.

Almost surely, 212022120211000 is an apocalyptic number.

12022120211000 is a gapful number since it is divisible by the number (10) 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 12022120211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856730106400).

12022120211000 is an abundant number, since it is smaller than the sum of its proper divisors (17691340001800).

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

12022120211000 is a wasteful number, since it uses less digits than its factorization.

12022120211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159866 (or 2159852 counting only the distinct ones).

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

Adding to 12022120211000 its reverse (11202122021), we get a palindrome (12033322333021).

The spelling of 12022120211000 in words is "twelve trillion, twenty-two billion, one hundred twenty million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 293 380 475 500 586 760 950 1000 1172 1465 1900 2344 2375 2930 3800 4750 5567 5860 7325 9500 11134 11720 14650 19000 22268 27835 29300 36625 44536 55670 58600 73250 111340 139175 146500 222680 278350 293000 556700 695875 1113400 1391750 2159533 2783500 4319066 5567000 8638132 10797665 17276264 21595330 41031127 43190660 53988325 82062254 86381320 107976650 164124508 205155635 215953300 269941625 328249016 410311270 431906600 539883250 632743169 820622540 1025778175 1079766500 1265486338 1641245080 2051556350 2159533000 2530972676 3163715845 4103112700 5061945352 5128890875 6327431690 8206225400 10257781750 12022120211 12654863380 15818579225 20515563500 24044240422 25309726760 31637158450 41031127000 48088480844 60110601055 63274316900 79092896125 96176961688 120221202110 126548633800 158185792250 240442404220 300553005275 316371584500 480884808440 601106010550 632743169000 1202212021100 1502765026375 2404424042200 3005530052750 6011060105500 12022120211000