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12001022021120 = 29511616986437
BaseRepresentation
bin1010111010100011010010…
…1001111000111000000000
31120111021201212012011012112
42232220310221320320000
53033111043114133440
641305105435314452
72346021341030636
oct256506451707000
946437655164175
1012001022021120
113907672079460
121419a65baba28
136908cb36a102
142d6bd161d356
1515c292a01965
hexaea34a78e00

12001022021120 has 160 divisors (see below), whose sum is σ = 31904770794336. Its totient is φ = 4292466278400.

The previous prime is 12001022021119. The next prime is 12001022021171. The reversal of 12001022021120 is 2112022010021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12001022021095 and 12001022021104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1775459 + ... + 5210978.

Almost surely, 212001022021120 is an apocalyptic number.

12001022021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001022021120 is an abundant number, since it is smaller than the sum of its proper divisors (19903748773216).

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

12001022021120 is an equidigital number, since it uses as much as digits as its factorization.

12001022021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986532 (or 6986516 counting only the distinct ones).

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

Adding to 12001022021120 its reverse (2112022010021), we get a palindrome (14113044031141).

The spelling of 12001022021120 in words is "twelve trillion, one billion, twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 64 80 88 110 122 128 160 176 220 244 256 305 320 352 440 488 512 610 640 671 704 880 976 1220 1280 1342 1408 1760 1952 2440 2560 2684 2816 3355 3520 3904 4880 5368 5632 6710 7040 7808 9760 10736 13420 14080 15616 19520 21472 26840 28160 31232 39040 42944 53680 78080 85888 107360 156160 171776 214720 343552 429440 858880 1717760 6986437 13972874 27945748 34932185 55891496 69864370 76850807 111782992 139728740 153701614 223565984 279457480 307403228 384254035 426172657 447131968 558914960 614806456 768508070 852345314 894263936 1117829920 1229612912 1537016140 1704690628 1788527872 2130863285 2235659840 2459225824 3074032280 3409381256 3577055744 4261726570 4471319680 4687899227 4918451648 6148064560 6818762512 8523453140 8942639360 9375798454 9836903296 12296129120 13637525024 17046906280 17885278720 18751596908 19673806592 23439496135 24592258240 27275050048 34093812560 37503193816 39347613184 46878992270 49184516480 54550100096 68187625120 75006387632 93757984540 98369032960 109100200192 136375250240 150012775264 187515969080 196738065920 218200400384 272750500480 300025550528 375031938160 545501000960 600051101056 750063876320 1091002001920 1200102202112 1500127752640 2400204404224 3000255505280 6000511010560 12001022021120