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12012040000000 = 2957300301
BaseRepresentation
bin1010111011001100010101…
…1000001001001000000000
31120112100011201110110211101
42232303011120021020000
53033301124220000000
641314131025024144
72346561356224225
oct256630530111000
946470151413741
1012012040000000
113911306477027
12142001ba85054
13691965c1ac41
142d7558a4d94c
1515c6d9e42e6a
hexaecc5609200

12012040000000 has 160 divisors (see below), whose sum is σ = 30000796830576. Its totient is φ = 4804800000000.

The previous prime is 12012039999991. The next prime is 12012040000057. The reversal of 12012040000000 is 4021021.

It can be written as a sum of positive squares in 8 ways, for example, as 11723009036544 + 289030963456 = 3423888^2 + 537616^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39849850 + ... + 40150150.

Almost surely, 212012040000000 is an apocalyptic number.

12012040000000 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 12012040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000398415288).

12012040000000 is an abundant number, since it is smaller than the sum of its proper divisors (17988756830576).

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

12012040000000 is an frugal number, since it uses more digits than its factorization.

12012040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300354 (or 300308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12012040000000 its reverse (4021021), we get a palindrome (12012044021021).

The spelling of 12012040000000 in words is "twelve trillion, twelve billion, forty million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 50000 62500 64000 78125 80000 100000 125000 156250 160000 200000 250000 300301 312500 320000 400000 500000 600602 625000 800000 1000000 1201204 1250000 1501505 1600000 2000000 2402408 2500000 3003010 4000000 4804816 5000000 6006020 7507525 8000000 9609632 10000000 12012040 15015050 19219264 20000000 24024080 30030100 37537625 38438528 40000000 48048160 60060200 75075250 76877056 96096320 120120400 150150500 153754112 187688125 192192640 240240800 300301000 375376250 384385280 480481600 600602000 750752500 768770560 938440625 960963200 1201204000 1501505000 1876881250 1921926400 2402408000 3003010000 3753762500 3843852800 4692203125 4804816000 6006020000 7507525000 9384406250 9609632000 12012040000 15015050000 18768812500 19219264000 23461015625 24024080000 30030100000 37537625000 46922031250 48048160000 60060200000 75075250000 93844062500 96096320000 120120400000 150150500000 187688125000 240240800000 300301000000 375376250000 480481600000 600602000000 750752500000 1201204000000 1501505000000 2402408000000 3003010000000 6006020000000 12012040000000