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12000102000 = 243536729851
BaseRepresentation
bin10110010110100001…
…10000011001110000
31010222022022100021020
423023100300121300
5144034011231000
65302431455440
7603242120055
oct131320603160
933868270236
1012000102000
1150a8821277
1223aa987580
13119319c093
1481ba4702c
154a3790ba0
hex2cb430670

12000102000 has 160 divisors (see below), whose sum is σ = 39267081984. Its totient is φ = 3152160000.

The previous prime is 12000101999. The next prime is 12000102013. The reversal of 12000102000 is 20100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12000102000.

It is a congruent number.

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, 387075 + ... + 416925.

Almost surely, 212000102000 is an apocalyptic number.

12000102000 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 12000102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19633540992).

12000102000 is an abundant number, since it is smaller than the sum of its proper divisors (27266979984).

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

12000102000 is a wasteful number, since it uses less digits than its factorization.

12000102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29944 (or 29928 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12000102000 its reverse (20100021), we get a palindrome (12020202021).

The spelling of 12000102000 in words is "twelve billion, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 120 125 134 150 200 201 240 250 268 300 335 375 400 402 500 536 600 670 750 804 1000 1005 1072 1200 1340 1500 1608 1675 2000 2010 2680 3000 3216 3350 4020 5025 5360 6000 6700 8040 8375 10050 13400 16080 16750 20100 25125 26800 29851 33500 40200 50250 59702 67000 80400 89553 100500 119404 134000 149255 179106 201000 238808 298510 358212 402000 447765 477616 597020 716424 746275 895530 1194040 1432848 1492550 1791060 2000017 2238825 2388080 2985100 3582120 3731375 4000034 4477650 5970200 6000051 7164240 7462750 8000068 8955300 10000085 11194125 11940400 12000102 14925500 16000136 17910600 20000170 22388250 24000204 29851000 30000255 32000272 35821200 40000340 44776500 48000408 50000425 59702000 60000510 80000680 89553000 96000816 100000850 120001020 150001275 160001360 179106000 200001700 240002040 250002125 300002550 400003400 480004080 500004250 600005100 750006375 800006800 1000008500 1200010200 1500012750 2000017000 2400020400 3000025500 4000034000 6000051000 12000102000