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12010022002000 = 2453113821142871
BaseRepresentation
bin1010111011000100110100…
…0110000101110101010000
31120112010222002020112222201
42232301031012011311100
53033233011113031000
641313154500212544
72346460353432151
oct256611506056520
946463862215881
1012010022002000
113910470357290
12141b75809a154
13691703b11799
142d7406a2b928
1515c61cbc796a
hexaec4d185d50

12010022002000 has 160 divisors (see below), whose sum is σ = 31688767289088. Its totient is φ = 4366107200000.

The previous prime is 12010022001953. The next prime is 12010022002061. The reversal of 12010022002000 is 20022001021.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 83990565 + ... + 84133435.

Almost surely, 212010022002000 is an apocalyptic number.

12010022002000 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 12010022002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15844383644544).

12010022002000 is an abundant number, since it is smaller than the sum of its proper divisors (19678745287088).

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

12010022002000 is a wasteful number, since it uses less digits than its factorization.

12010022002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146726 (or 146710 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12010022002000 its reverse (20022001021), we get a palindrome (12030044003021).

The spelling of 12010022002000 in words is "twelve trillion, ten billion, twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 3821 4400 5500 7642 11000 15284 19105 22000 30568 38210 42031 61136 76420 84062 95525 142871 152840 168124 191050 210155 285742 305680 336248 382100 420310 477625 571484 672496 714355 764200 840620 955250 1050775 1142968 1428710 1528400 1571581 1681240 1910500 2101550 2285936 2857420 3143162 3362480 3571775 3821000 4203100 5253875 5714840 6286324 7143550 7642000 7857905 8406200 10507750 11429680 12572648 14287100 15715810 16812400 17858875 21015500 25145296 28574200 31431620 35717750 39289525 42031000 57148400 62863240 71435500 78579050 84062000 125726480 142871000 157158100 196447625 285742000 314316200 392895250 545910091 628632400 785790500 1091820182 1571581000 2183640364 2729550455 3143162000 4367280728 5459100910 6005011001 8734561456 10918201820 12010022002 13647752275 21836403640 24020044004 27295504550 30025055005 43672807280 48040088008 54591009100 60050110010 68238761375 96080176016 109182018200 120100220020 136477522750 150125275025 218364036400 240200440040 272955045500 300250550050 480400880080 545910091000 600501100100 750626375125 1091820182000 1201002200200 1501252750250 2402004400400 3002505500500 6005011001000 12010022002000