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12032242022000 = 245315139841861
BaseRepresentation
bin1010111100010111100110…
…0000101111011001110000
31120121021022122010112011102
42233011321200233121300
53034114012424201000
641331311412303532
72351205113456444
oct257057140573160
946537278115142
1012032242022000
113919932a3a182
121423b19611ba8
1369383540a305
142d8513ac2824
1515cebd7b73d5
hexaf17982f670

12032242022000 has 80 divisors (see below), whose sum is σ = 29286637184064. Its totient is φ = 4781023200000.

The previous prime is 12032242021907. The next prime is 12032242022011. The reversal of 12032242022000 is 22024223021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19618931 + ... + 20222930.

Almost surely, 212032242022000 is an apocalyptic number.

12032242022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032242022000 is an abundant number, since it is smaller than the sum of its proper divisors (17254395162064).

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

12032242022000 is a wasteful number, since it uses less digits than its factorization.

12032242022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39842035 (or 39842019 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12032242022000 its reverse (22024223021), we get a palindrome (12054266245021).

The spelling of 12032242022000 in words is "twelve trillion, thirty-two billion, two hundred forty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 151 200 250 302 400 500 604 755 1000 1208 1510 2000 2416 3020 3775 6040 7550 12080 15100 18875 30200 37750 60400 75500 151000 302000 39841861 79683722 159367444 199209305 318734888 398418610 637469776 796837220 996046525 1593674440 1992093050 3187348880 3984186100 4980232625 6016121011 7968372200 9960465250 12032242022 15936744400 19920930500 24064484044 30080605055 39841861000 48128968088 60161210110 79683722000 96257936176 120322420220 150403025275 240644840440 300806050550 481289680880 601612101100 752015126375 1203224202200 1504030252750 2406448404400 3008060505500 6016121011000 12032242022000