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12011212000 = 25537142293
BaseRepresentation
bin10110010111110110…
…01000110011100000
31011000002012210022201
423023323020303200
5144044332241000
65303505542544
7603435421534
oct131373106340
934002183281
1012011212000
11510401a397
1223b2644a54
13119558bc48
1481d2d9bc4
154a473796a
hex2cbec8ce0

12011212000 has 96 divisors (see below), whose sum is σ = 29927911104. Its totient is φ = 4736704000.

The previous prime is 12011211941. The next prime is 12011212001. The reversal of 12011212000 is 21211021.

12011212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262854 + ... + 305146.

It is an arithmetic number, because the mean of its divisors is an integer number (311749074).

Almost surely, 212011212000 is an apocalyptic number.

12011212000 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 12011212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14963955552).

12011212000 is an abundant number, since it is smaller than the sum of its proper divisors (17916699104).

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

12011212000 is an equidigital number, since it uses as much as digits as its factorization.

12011212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42389 (or 42371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12011212000 its reverse (21211021), we get a palindrome (12032423021).

The spelling of 12011212000 in words is "twelve billion, eleven million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 125 142 160 200 250 284 355 400 500 568 710 800 1000 1136 1420 1775 2000 2272 2840 3550 4000 5680 7100 8875 11360 14200 17750 28400 35500 42293 56800 71000 84586 142000 169172 211465 284000 338344 422930 676688 845860 1057325 1353376 1691720 2114650 3002803 3383440 4229300 5286625 6005606 6766880 8458600 10573250 12011212 15014015 16917200 21146500 24022424 30028030 33834400 42293000 48044848 60056060 75070075 84586000 96089696 120112120 150140150 169172000 240224240 300280300 375350375 480448480 600560600 750700750 1201121200 1501401500 2402242400 3002803000 6005606000 12011212000