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12012632000 = 26537121149
BaseRepresentation
bin10110011000000001…
…00011011111000000
31011000011212221012022
423030000203133000
5144100213211000
65304000221012
7603453454505
oct131400433700
934004787168
1012012632000
1151048aa246
1223b300a768
131195968395
1481d5894ac
154a4918585
hex2cc0237c0

12012632000 has 112 divisors (see below), whose sum is σ = 30169713600. Its totient is φ = 4737152000.

The previous prime is 12012631979. The next prime is 12012632017. The reversal of 12012632000 is 23621021.

It is a self number, because there is not a number n which added to its sum of digits gives 12012632000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557426 + ... + 578574.

Almost surely, 212012632000 is an apocalyptic number.

12012632000 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 12012632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15084856800).

12012632000 is an abundant number, since it is smaller than the sum of its proper divisors (18157081600).

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

12012632000 is an equidigital number, since it uses as much as digits as its factorization.

12012632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21247 (or 21227 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The spelling of 12012632000 in words is "twelve billion, twelve million, six hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 142 160 200 250 284 320 355 400 500 568 710 800 1000 1136 1420 1600 1775 2000 2272 2840 3550 4000 4544 5680 7100 8000 8875 11360 14200 17750 21149 22720 28400 35500 42298 56800 71000 84596 105745 113600 142000 169192 211490 284000 338384 422980 528725 568000 676768 845960 1057450 1353536 1501579 1691920 2114900 2643625 3003158 3383840 4229800 5287250 6006316 6767680 7507895 8459600 10574500 12012632 15015790 16919200 21149000 24025264 30031580 33838400 37539475 42298000 48050528 60063160 75078950 84596000 96101056 120126320 150157900 169192000 187697375 240252640 300315800 375394750 480505280 600631600 750789500 1201263200 1501579000 2402526400 3003158000 6006316000 12012632000