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12010020111100 = 22521159479938561
BaseRepresentation
bin1010111011000100110011…
…1110111000001011111100
31120112010221221200111011101
42232301030332320023330
53033233010122023400
641313154351502444
72346460331365264
oct256611476701374
946463857614141
1012010020111100
11391046a285660
12141b757527a24
136917035cbbcb
142d74066987a4
1515c61c95256a
hexaec4cfb82fc

12010020111100 has 144 divisors (see below), whose sum is σ = 28919649024000. Its totient is φ = 4292252416000.

The previous prime is 12010020110983. The next prime is 12010020111119. The reversal of 12010020111100 is 111102001021.

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 47 ways as a sum of consecutive naturals, for example, 311435820 + ... + 311474380.

It is an arithmetic number, because the mean of its divisors is an integer number (200830896000).

Almost surely, 212010020111100 is an apocalyptic number.

12010020111100 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 12010020111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14459824512000).

12010020111100 is an abundant number, since it is smaller than the sum of its proper divisors (16909628912900).

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

12010020111100 is a wasteful number, since it uses less digits than its factorization.

12010020111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43444 (or 43437 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12010020111100 its reverse (111102001021), we get a palindrome (12121122112121).

The spelling of 12010020111100 in words is "twelve trillion, ten billion, twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 1100 1180 1298 1475 2596 2950 3245 4799 5900 6490 9598 12980 16225 19196 23995 32450 38561 47990 52789 64900 77122 95980 105578 119975 154244 192805 211156 239950 263945 283141 385610 424171 479900 527890 566282 771220 848342 964025 1055780 1132564 1319725 1415705 1696684 1928050 2120855 2275099 2639450 2831410 3114551 3856100 4241710 4550198 5278900 5662820 6229102 7078525 8483420 9100396 10604275 11375495 12458204 14157050 15572755 21208550 22750990 25026089 28314100 31145510 42417100 45501980 50052178 56877475 62291020 77863775 100104356 113754950 125130445 155727550 185054239 227509900 250260890 311455100 370108478 500521780 625652225 740216956 925271195 1251304450 1850542390 2035596629 2502608900 3701084780 4071193258 4626355975 8142386516 9252711950 10177983145 10918200101 18505423900 20355966290 21836400202 40711932580 43672800404 50889915725 54591000505 101779831450 109182001010 120100201111 203559662900 218364002020 240200402222 272955002525 480400804444 545910005050 600501005555 1091820010100 1201002011110 2402004022220 3002505027775 6005010055550 12010020111100