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12100120000 = 2654373811
BaseRepresentation
bin10110100010011100…
…10010110111000000
31011020021111210011121
423101032102313000
5144240112320000
65320403322024
7605565215533
oct132116226700
934207453147
1012100120000
11514a225281
122418380314
1311aab1ab27
1482b040a1a
154ac44ab1a
hex2d1392dc0

12100120000 has 140 divisors (see below), whose sum is σ = 30121901656. Its totient is φ = 4821120000.

The previous prime is 12100119989. The next prime is 12100120001. The reversal of 12100120000 is 2100121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14919595 + ... + 14920405.

Almost surely, 212100120000 is an apocalyptic number.

12100120000 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 12100120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060950828).

12100120000 is an abundant number, since it is smaller than the sum of its proper divisors (18021781656).

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

12100120000 is an frugal number, since it uses more digits than its factorization.

12100120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12100120000 its reverse (2100121), we get a palindrome (12102220121).

The spelling of 12100120000 in words is "twelve billion, one hundred million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 373 400 500 625 746 800 811 1000 1250 1492 1600 1622 1865 2000 2500 2984 3244 3730 4000 4055 5000 5968 6488 7460 8000 8110 9325 10000 11936 12976 14920 16220 18650 20000 20275 23872 25952 29840 32440 37300 40000 40550 46625 51904 59680 64880 74600 81100 93250 101375 119360 129760 149200 162200 186500 202750 233125 259520 298400 302503 324400 373000 405500 466250 506875 596800 605006 648800 746000 811000 932500 1013750 1210012 1297600 1492000 1512515 1622000 1865000 2027500 2420024 2984000 3025030 3244000 3730000 4055000 4840048 6050060 6488000 7460000 7562575 8110000 9680096 12100120 14920000 15125150 16220000 19360192 24200240 30250300 32440000 37812875 48400480 60500600 75625750 96800960 121001200 151251500 189064375 242002400 302503000 378128750 484004800 605006000 756257500 1210012000 1512515000 2420024000 3025030000 6050060000 12100120000