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12100121000 = 23531139091
BaseRepresentation
bin10110100010011100…
…10011000110101000
31011020021111211112122
423101032103012220
5144240112333000
65320403330412
7605565221462
oct132116230650
934207454478
1012100121000
11514a226000
122418380a08
1311aab1b416
1482b041132
154ac44b085
hex2d13931a8

12100121000 has 128 divisors (see below), whose sum is σ = 31147009920. Its totient is φ = 4399560000.

The previous prime is 12100120999. The next prime is 12100121017. The reversal of 12100121000 is 12100121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1326455 + ... + 1335545.

It is an arithmetic number, because the mean of its divisors is an integer number (243336015).

Almost surely, 212100121000 is an apocalyptic number.

12100121000 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 12100121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573504960).

12100121000 is an abundant number, since it is smaller than the sum of its proper divisors (19046888920).

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

12100121000 is an equidigital number, since it uses as much as digits as its factorization.

12100121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9145 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12100121000 its reverse (12100121), we get a palindrome (12112221121).

12100121000 divided by its reverse (12100121) gives a cube (1000 = 103).

The spelling of 12100121000 in words is "twelve billion, one hundred million, one hundred twenty-one 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 1331 1375 2200 2420 2662 2750 3025 4840 5324 5500 6050 6655 9091 10648 11000 12100 13310 15125 18182 24200 26620 30250 33275 36364 45455 53240 60500 66550 72728 90910 100001 121000 133100 166375 181820 200002 227275 266200 332750 363640 400004 454550 500005 665500 800008 909100 1000010 1100011 1136375 1331000 1818200 2000020 2200022 2272750 2500025 4000040 4400044 4545500 5000050 5500055 8800088 9091000 10000100 11000110 12100121 12500125 20000200 22000220 24200242 25000250 27500275 44000440 48400484 50000500 55000550 60500605 96800968 100001000 110001100 121001210 137501375 220002200 242002420 275002750 302503025 484004840 550005500 605006050 1100011000 1210012100 1512515125 2420024200 3025030250 6050060500 12100121000