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12002121200120 = 2351929655383101
BaseRepresentation
bin1010111010100111011000…
…1010111011000111111000
31120111101120110111020022212
42232221312022323013320
53033120321011400440
641305410502434252
72346060515634302
oct256516612730770
946441513436285
1012002121200120
113908086582957
12141a112132988
13690a44cc119c
142d6c975c6972
1515c309274465
hexaea762bb1f8

12002121200120 has 128 divisors (see below), whose sum is σ = 29411127432000. Its totient is φ = 4390615756800.

The previous prime is 12002121200039. The next prime is 12002121200143. The reversal of 12002121200120 is 2100212120021.

It is a junction number, because it is equal to n+sod(n) for n = 12002121200095 and 12002121200104.

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, 144386570 + ... + 144469670.

Almost surely, 212002121200120 is an apocalyptic number.

12002121200120 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 12002121200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705563716000).

12002121200120 is an abundant number, since it is smaller than the sum of its proper divisors (17409006231880).

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

12002121200120 is a wasteful number, since it uses less digits than its factorization.

12002121200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89713 (or 89709 counting only the distinct ones).

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

Adding to 12002121200120 its reverse (2100212120021), we get a palindrome (14102333320141).

The spelling of 12002121200120 in words is "twelve trillion, two billion, one hundred twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 1102 1160 2204 2755 4408 5510 6553 11020 13106 22040 26212 32765 52424 65530 83101 124507 131060 166202 190037 249014 262120 332404 380074 415505 498028 622535 664808 760148 831010 950185 996056 1245070 1520296 1578919 1662020 1900370 2409929 2490140 3157838 3324040 3610703 3800740 4819858 4980280 6315676 7221406 7601480 7894595 9639716 12049645 12631352 14442812 15789190 18053515 19279432 24099290 28885624 31578380 36107030 45788651 48198580 63156760 72214060 91577302 96397160 144428120 183154604 228943255 366309208 457886510 544560853 915773020 1089121706 1831546040 2178243412 2722804265 4356486824 5445608530 10346656207 10891217060 15792264737 20693312414 21782434120 31584529474 41386624828 51733281035 63169058948 78961323685 82773249656 103466562070 126338117896 157922647370 206933124140 300053030003 315845294740 413866248280 600106060006 631690589480 1200212120012 1500265150015 2400424240024 3000530300030 6001060600060 12002121200120