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12000101012000 = 25533000025253
BaseRepresentation
bin1010111010011111110111…
…0000100001001000100000
31120111012100200011001012122
42232213331300201020200
53033102201324341000
641304434215043412
72345656455421103
oct256477560411040
946435320131178
1012000101012000
11390723a1a76a2
121419849670568
136907b25c8bba
142d6b4519473a
1515c23bc25085
hexae9fdc21220

12000101012000 has 48 divisors (see below), whose sum is σ = 29484248196312. Its totient is φ = 4800040403200.

The previous prime is 12000101011963. The next prime is 12000101012021. The reversal of 12000101012000 is 21010100021.

It can be written as a sum of positive squares in 4 ways, for example, as 5962406774416 + 6037694237584 = 2441804^2 + 2457172^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1500008627 + ... + 1500016626.

Almost surely, 212000101012000 is an apocalyptic number.

12000101012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000101012000 is an abundant number, since it is smaller than the sum of its proper divisors (17484147184312).

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

12000101012000 is an equidigital number, since it uses as much as digits as its factorization.

12000101012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000025278 (or 3000025260 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12000101012000 its reverse (21010100021), we get a palindrome (12021111112021).

The spelling of 12000101012000 in words is "twelve trillion, one hundred one million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 3000025253 6000050506 12000101012 15000126265 24000202024 30000252530 48000404048 60000505060 75000631325 96000808096 120001010120 150001262650 240002020240 300002525300 375003156625 480004040480 600005050600 750006313250 1200010101200 1500012626500 2400020202400 3000025253000 6000050506000 12000101012000