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12020211100000 = 2555197610163
BaseRepresentation
bin1010111011101010110001…
…1010011010100101100000
31120120010021011211100210201
42232322230122122211200
53033414343020200000
641322001520034544
72350301015354215
oct256725432324540
946503234740721
1012020211100000
113914819888434
121421720462a54
13692668a39c5c
142d7ad1d35b0c
1515ca1748996a
hexaeeac69a960

12020211100000 has 144 divisors (see below), whose sum is σ = 29729291484816. Its totient is φ = 4783670080000.

The previous prime is 12020211099901. The next prime is 12020211100003. The reversal of 12020211100000 is 111202021.

12020211100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12020211100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020211100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19394919 + ... + 20005081.

It is an arithmetic number, because the mean of its divisors is an integer number (206453413089).

Almost surely, 212020211100000 is an apocalyptic number.

12020211100000 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 12020211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864645742408).

12020211100000 is an abundant number, since it is smaller than the sum of its proper divisors (17709080384816).

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

12020211100000 is an frugal number, since it uses more digits than its factorization.

12020211100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610395 (or 610367 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12020211100000 its reverse (111202021), we get a palindrome (12020322302021).

The spelling of 12020211100000 in words is "twelve trillion, twenty billion, two hundred eleven million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 197 200 250 394 400 500 625 788 800 985 1000 1250 1576 1970 2000 2500 3125 3152 3940 4000 4925 5000 6250 6304 7880 9850 10000 12500 15760 19700 20000 24625 25000 31520 39400 49250 50000 78800 98500 100000 123125 157600 197000 246250 394000 492500 610163 615625 788000 985000 1220326 1231250 1970000 2440652 2462500 3050815 3940000 4881304 4925000 6101630 9762608 9850000 12203260 15254075 19525216 19700000 24406520 30508150 48813040 61016300 76270375 97626080 120202111 122032600 152540750 240404222 244065200 305081500 381351875 480808444 488130400 601010555 610163000 762703750 961616888 1202021110 1220326000 1525407500 1906759375 1923233776 2404042220 2440652000 3005052775 3050815000 3813518750 3846467552 4808084440 6010105550 6101630000 7627037500 9616168880 12020211100 12203260000 15025263875 15254075000 19232337760 24040422200 30050527750 30508150000 48080844400 60101055500 61016300000 75126319375 96161688800 120202111000 150252638750 240404222000 300505277500 375631596875 480808444000 601010555000 751263193750 1202021110000 1502526387500 2404042220000 3005052775000 6010105550000 12020211100000