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12020123100 = 22352475914449
BaseRepresentation
bin10110011000111010…
…01000010111011100
31011000200222112001110
423030131020113130
5144104122414400
65304424542020
7603604234446
oct131435102734
934020875043
1012020123100
115109056437
1223b5621910
13119738bc9b
14820579496
154a53e7e50
hex2cc7485dc

12020123100 has 144 divisors (see below), whose sum is σ = 36122688000. Its totient is φ = 3083781120.

The previous prime is 12020123069. The next prime is 12020123113. The reversal of 12020123100 is 132102021.

12020123100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120201231002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824676 + ... + 839124.

It is an arithmetic number, because the mean of its divisors is an integer number (250852000).

Almost surely, 212020123100 is an apocalyptic number.

12020123100 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 12020123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18061344000).

12020123100 is an abundant number, since it is smaller than the sum of its proper divisors (24102564900).

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

12020123100 is a wasteful number, since it uses less digits than its factorization.

12020123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14572 (or 14565 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12020123100 its reverse (132102021), we get a palindrome (12152225121).

The spelling of 12020123100 in words is "twelve billion, twenty million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 59 60 75 94 100 118 141 150 177 188 235 236 282 295 300 354 470 564 590 705 708 885 940 1175 1180 1410 1475 1770 2350 2773 2820 2950 3525 3540 4425 4700 5546 5900 7050 8319 8850 11092 13865 14100 14449 16638 17700 27730 28898 33276 41595 43347 55460 57796 69325 72245 83190 86694 138650 144490 166380 173388 207975 216735 277300 288980 361225 415950 433470 679103 722450 831900 852491 866940 1083675 1358206 1444900 1704982 2037309 2167350 2557473 2716412 3395515 3409964 4074618 4262455 4334700 5114946 6791030 8149236 8524910 10186545 10229892 12787365 13582060 16977575 17049820 20373090 21312275 25574730 33955150 40067077 40746180 42624550 50932725 51149460 63936825 67910300 80134154 85249100 101865450 120201231 127873650 160268308 200335385 203730900 240402462 255747300 400670770 480804924 601006155 801341540 1001676925 1202012310 2003353850 2404024620 3005030775 4006707700 6010061550 12020123100