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12000021011000 = 23531110853100517
BaseRepresentation
bin1010111010011111100011…
…1111010101101000111000
31120111012011002121120110122
42232213320333111220320
53033102020334323000
641304422240232412
72345654464422041
oct256477077255070
946435132546418
1012000021011000
1139071a9025770
12141982690b708
1369079bb68229
142d6b386cb8c8
1515c234bc1085
hexae9f8fd5a38

12000021011000 has 128 divisors (see below), whose sum is σ = 30635908205760. Its totient is φ = 4363198528000.

The previous prime is 12000021010997. The next prime is 12000021011021. The reversal of 12000021011000 is 11012000021.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 119332742 + ... + 119433258.

Almost surely, 212000021011000 is an apocalyptic number.

12000021011000 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 12000021011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15317954102880).

12000021011000 is an abundant number, since it is smaller than the sum of its proper divisors (18635887194760).

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

12000021011000 is a wasteful number, since it uses less digits than its factorization.

12000021011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111402 (or 111388 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12000021011000 its reverse (11012000021), we get a palindrome (12011033011021).

The spelling of 12000021011000 in words is "twelve trillion, twenty-one million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 10853 11000 21706 43412 54265 86824 100517 108530 119383 201034 217060 238766 271325 402068 434120 477532 502585 542650 596915 804136 955064 1005170 1085300 1105687 1193830 1356625 2010340 2170600 2211374 2387660 2512925 2713250 2984575 4020680 4422748 4775320 5025850 5426500 5528435 5969150 8845496 10051700 10853000 11056870 11938300 12564625 14922875 20103400 22113740 23876600 25129250 27642175 29845750 44227480 50258500 55284350 59691500 100517000 110568700 119383000 138210875 221137400 276421750 552843500 1090911001 1105687000 2181822002 4363644004 5454555005 8727288008 10909110010 12000021011 21818220020 24000042022 27272775025 43636440040 48000084044 54545550050 60000105055 96000168088 109091100100 120000210110 136363875125 218182200200 240000420220 272727750250 300000525275 480000840440 545455500500 600001050550 1090911001000 1200002101100 1500002626375 2400004202200 3000005252750 6000010505500 12000021011000