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12012020102100 = 22352431019219449
BaseRepresentation
bin1010111011001100010000…
…1100001111001111010100
31120112100010100000120001010
42232303010030033033110
53033301104121231400
641314125034332220
72346561025131654
oct256630414171724
946470110016033
1012012020102100
1139112a6216487
12142001528a070
13691961a72135
142d7556150364
1515c6d8312450
hexaecc430f3d4

12012020102100 has 144 divisors (see below), whose sum is σ = 35915141908800. Its totient is φ = 3097734528000.

The previous prime is 12012020102059. The next prime is 12012020102111. The reversal of 12012020102100 is 120102021021.

12012020102100 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 (12).

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, 3306825 + ... + 5912624.

It is an arithmetic number, because the mean of its divisors is an integer number (249410707700).

Almost surely, 212012020102100 is an apocalyptic number.

12012020102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012020102100 is an abundant number, since it is smaller than the sum of its proper divisors (23903121806700).

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

12012020102100 is a wasteful number, since it uses less digits than its factorization.

12012020102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9219610 (or 9219603 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12012020102100 its reverse (120102021021), we get a palindrome (12132122123121).

The spelling of 12012020102100 in words is "twelve trillion, twelve billion, twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 101 129 150 172 202 215 258 300 303 404 430 505 516 606 645 860 1010 1075 1212 1290 1515 2020 2150 2525 2580 3030 3225 4300 4343 5050 6060 6450 7575 8686 10100 12900 13029 15150 17372 21715 26058 30300 43430 52116 65145 86860 108575 130290 217150 260580 325725 434300 651450 1302900 9219449 18438898 27658347 36877796 46097245 55316694 92194490 110633388 138291735 184388980 230486225 276583470 396436307 460972450 553166940 691458675 792872614 921944900 931164349 1189308921 1382917350 1585745228 1862328698 1982181535 2378617842 2765834700 2793493047 3724657396 3964363070 4655821745 4757235684 5586986094 5946544605 7928726140 9311643490 9910907675 11173972188 11893089210 13967465235 18623286980 19821815350 23279108725 23786178420 27934930470 29732723025 39643630700 40040067007 46558217450 55869860940 59465446050 69837326175 80080134014 93116434900 118930892100 120120201021 139674652350 160160268028 200200335035 240240402042 279349304700 400400670070 480480804084 600601005105 800801340140 1001001675175 1201202010210 2002003350350 2402404020420 3003005025525 4004006700700 6006010051050 12012020102100