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12121220122000 = 245311550964551
BaseRepresentation
bin1011000001100011000100…
…0001010000010110010000
31120220202222200010100000121
42300120301001100112100
53042043224322401000
641440224530000024
72360505064030633
oct260306101202620
946822880110017
1012121220122000
113953642839710
121439210116014
1369c0455c5222
142dc954db1c1a
1516047a088b1a
hexb0631050590

12121220122000 has 80 divisors (see below), whose sum is σ = 31973574881664. Its totient is φ = 4407716400000.

The previous prime is 12121220121947. The next prime is 12121220122007. The reversal of 12121220122000 is 22102212121.

It is a happy number.

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 (16).

It is not an unprimeable number, because it can be changed into a prime (12121220122007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275460276 + ... + 275504275.

Almost surely, 212121220122000 is an apocalyptic number.

12121220122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121220122000 is an abundant number, since it is smaller than the sum of its proper divisors (19852354759664).

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

12121220122000 is a wasteful number, since it uses less digits than its factorization.

12121220122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550964585 (or 550964569 counting only the distinct ones).

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

Adding to 12121220122000 its reverse (22102212121), we get a palindrome (12143322334121).

The spelling of 12121220122000 in words is "twelve trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 550964551 1101929102 2203858204 2754822755 4407716408 5509645510 6060610061 8815432816 11019291020 12121220122 13774113775 22038582040 24242440244 27548227550 30303050305 44077164080 48484880488 55096455100 60606100610 68870568875 96969760976 110192910200 121212201220 137741137750 151515251525 220385820400 242424402440 275482275500 303030503050 484848804880 550964551000 606061006100 757576257625 1101929102000 1212122012200 1515152515250 2424244024400 3030305030500 6060610061000 12121220122000