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12000011112100 = 22521152792066509
BaseRepresentation
bin1010111010011111100001…
…1001100100111010100100
31120111012010101222122201201
42232213320121210322210
53033102010321041400
641304421244132244
72345654314323214
oct256477031447244
946435111878651
1012000011112100
1139071a3484560
121419823537084
13690799ab06ab
142d6b37272244
1515c233db806a
hexae9f8664ea4

12000011112100 has 72 divisors (see below), whose sum is σ = 28412693971200. Its totient is φ = 4362811689600.

The previous prime is 12000011112083. The next prime is 12000011112151. The reversal of 12000011112100 is 121111000021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4773646 + ... + 6840154.

It is an arithmetic number, because the mean of its divisors is an integer number (394620749600).

Almost surely, 212000011112100 is an apocalyptic number.

12000011112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000011112100 is an abundant number, since it is smaller than the sum of its proper divisors (16412682859100).

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

12000011112100 is a wasteful number, since it uses less digits than its factorization.

12000011112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071813 (or 2071806 counting only the distinct ones).

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

Adding to 12000011112100 its reverse (121111000021), we get a palindrome (12121122112121).

The spelling of 12000011112100 in words is "twelve trillion, eleven million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 5279 10558 21116 26395 52790 58069 105580 116138 131975 232276 263950 290345 527900 580690 1161380 1451725 2066509 2903450 4133018 5806900 8266036 10332545 20665090 22731599 41330180 45463198 51662725 90926396 103325450 113657995 206650900 227315990 454631980 568289975 1136579950 2273159900 10909101011 21818202022 43636404044 54545505055 109091010110 120000111121 218182020220 240000222242 272727525275 480000444484 545455050550 600000555605 1090910101100 1200001111210 2400002222420 3000002778025 6000005556050 12000011112100