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12122143000 = 2353112100183
BaseRepresentation
bin10110100101000100…
…10011100100011000
31011021210221200001021
423102202103210120
5144311232034000
65322511332224
7606253341532
oct132242234430
934253850037
1012122143000
1151606a7500
122423821074
1311b255bca6
1482dd34852
154ae34b11a
hex2d2893918

12122143000 has 96 divisors (see below), whose sum is σ = 31179264480. Its totient is φ = 4408008000.

The previous prime is 12122142959. The next prime is 12122143003. The reversal of 12122143000 is 34122121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122143003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70909 + ... + 171091.

It is an arithmetic number, because the mean of its divisors is an integer number (324784005).

Almost surely, 212122143000 is an apocalyptic number.

12122143000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15589632240).

12122143000 is an abundant number, since it is smaller than the sum of its proper divisors (19057121480).

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

12122143000 is a wasteful number, since it uses less digits than its factorization.

12122143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100226 (or 100201 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12122143000 its reverse (34122121), we get a palindrome (12156265121).

The spelling of 12122143000 in words is "twelve billion, one hundred twenty-two million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 100183 121000 200366 400732 500915 801464 1001830 1102013 2003660 2204026 2504575 4007320 4408052 5009150 5510065 8816104 10018300 11020130 12122143 12522875 20036600 22040260 24244286 25045750 27550325 44080520 48488572 50091500 55100650 60610715 96977144 100183000 110201300 121221430 137751625 220402600 242442860 275503250 303053575 484885720 551006500 606107150 1102013000 1212214300 1515267875 2424428600 3030535750 6061071500 12122143000