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12002002101120 = 273553759116279
BaseRepresentation
bin1010111010100110111100…
…0100100110001110000000
31120111101021011101101012210
42232221233010212032000
53033120100014213440
641305351010022120
72346054541415013
oct256515704461600
946441234341183
1012002002101120
113908025327029
12141a09a277940
13690a264213c5
142d6c8586337a
1515c2eda9aa80
hexaea6f126380

12002002101120 has 128 divisors (see below), whose sum is σ = 38257422336000. Its totient is φ = 3200446834688.

The previous prime is 12002002101113. The next prime is 12002002101181. The reversal of 12002002101120 is 2110120020021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12002002101096 and 12002002101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103159141 + ... + 103275419.

It is an arithmetic number, because the mean of its divisors is an integer number (298886112000).

Almost surely, 212002002101120 is an apocalyptic number.

12002002101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002002101120 is an abundant number, since it is smaller than the sum of its proper divisors (26255420234880).

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

12002002101120 is a wasteful number, since it uses less digits than its factorization.

12002002101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170060 (or 170048 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002002101120 its reverse (2110120020021), we get a palindrome (14112122121141).

The spelling of 12002002101120 in words is "twelve trillion, two billion, two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 53759 107518 116279 161277 215036 232558 268795 322554 348837 430072 465116 537590 581395 645108 697674 806385 860144 930232 1075180 1162790 1290216 1395348 1612770 1720288 1744185 1860464 2150360 2325580 2580432 2790696 3225540 3440576 3488370 3720928 4300720 4651160 5160864 5581392 6451080 6881152 6976740 7441856 8601440 9302320 10321728 11162784 12902160 13953480 14883712 17202880 18604640 20643456 22325568 25804320 27906960 34405760 37209280 44651136 51608640 55813920 74418560 103217280 111627840 223255680 6251042761 12502085522 18753128283 25004171044 31255213805 37506256566 50008342088 62510427610 75012513132 93765641415 100016684176 125020855220 150025026264 187531282830 200033368352 250041710440 300050052528 375062565660 400066736704 500083420880 600100105056 750125131320 800133473408 1000166841760 1200200210112 1500250262640 2000333683520 2400400420224 3000500525280 4000667367040 6001001050560 12002002101120