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12030132012000 = 253531002511001
BaseRepresentation
bin1010111100001111101110…
…1111101100001111100000
31120121001212120202220120220
42233003323233230033200
53034100202243341000
641330322155403040
72351101612622004
oct257037357541740
946531776686526
1012030132012000
113918a4a994463
12142362aa53480
1369358a22619b
142d839378c704
1515cde84241a0
hexaf0fbbec3e0

12030132012000 has 96 divisors (see below), whose sum is σ = 39410712510624. Its totient is φ = 3208035200000.

The previous prime is 12030132011987. The next prime is 12030132012037. The reversal of 12030132012000 is 21023103021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×120301320120002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 501243501 + ... + 501267500.

It is an arithmetic number, because the mean of its divisors is an integer number (410528255319).

Almost surely, 212030132012000 is an apocalyptic number.

12030132012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12030132012000 is an abundant number, since it is smaller than the sum of its proper divisors (27380580498624).

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

12030132012000 is a wasteful number, since it uses less digits than its factorization.

12030132012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002511029 (or 1002511011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12030132012000 its reverse (21023103021), we get a palindrome (12051155115021).

The spelling of 12030132012000 in words is "twelve trillion, thirty billion, one hundred thirty-two million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1002511001 2005022002 3007533003 4010044004 5012555005 6015066006 8020088008 10025110010 12030132012 15037665015 16040176016 20050220020 24060264024 25062775025 30075330030 32080352032 40100440040 48120528048 50125550050 60150660060 75188325075 80200880080 96241056096 100251100100 120301320120 125313875125 150376650150 160401760160 200502200200 240602640240 250627750250 300753300300 375941625375 401004400400 481205280480 501255500500 601506600600 751883250750 802008800800 1002511001000 1203013201200 1503766501500 2005022002000 2406026402400 3007533003000 4010044004000 6015066006000 12030132012000