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12121020221200 = 24521110127275023
BaseRepresentation
bin1011000001100010010100…
…0110101100011100010000
31120220202110201222022200021
42300120211012230130100
53042042322134034300
641440153025233224
72360500115635522
oct260304506543420
946822421868607
1012121020221200
11395354aa14240
121439175192814
1369c013074127
142dc936617a12
1516046774dd1a
hexb06251ac710

12121020221200 has 120 divisors (see below), whose sum is σ = 32082628830336. Its totient is φ = 4364003520000.

The previous prime is 12121020221161. The next prime is 12121020221231. The reversal of 12121020221200 is 212202012121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 13193112 + ... + 14081911.

Almost surely, 212121020221200 is an apocalyptic number.

12121020221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121020221200 is an abundant number, since it is smaller than the sum of its proper divisors (19961608609136).

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

12121020221200 is a wasteful number, since it uses less digits than its factorization.

12121020221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27275153 (or 27275142 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12121020221200 its reverse (212202012121), we get a palindrome (12333222233321).

The spelling of 12121020221200 in words is "twelve trillion, one hundred twenty-one billion, twenty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 1010 1100 1111 1616 2020 2200 2222 2525 4040 4400 4444 5050 5555 8080 8888 10100 11110 17776 20200 22220 27775 40400 44440 55550 88880 111100 222200 444400 27275023 54550046 109100092 136375115 218200184 272750230 300025253 436400368 545500460 600050506 681875575 1091000920 1200101012 1363751150 1500126265 2182001840 2400202024 2727502300 2754777323 3000252530 4800404048 5455004600 5509554646 6000505060 7500631325 10910009200 11019109292 12001010120 13773886615 15001262650 22038218584 24002020240 27547773230 30002525300 30302550553 44076437168 55095546460 60005050600 60605101106 68869433075 110191092920 120010101200 121210202212 137738866150 151512752765 220382185840 242420404424 275477732300 303025505530 484840808848 550955464600 606051011060 757563763825 1101910929200 1212102022120 1515127527650 2424204044240 3030255055300 6060510110600 12121020221200