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12002011201200 = 2435210001676001
BaseRepresentation
bin1010111010100110111110…
…0111010011111010110000
31120111101021210111201011210
42232221233213103322300
53033120104331414300
641305351533040120
72346055011645606
oct256515747237260
946441253451153
1012002011201200
11390802a482059
12141a0a1326040
13690a28289477
142d6c86b51876
1515c2ee797050
hexaea6f9d3eb0

12002011201200 has 60 divisors (see below), whose sum is σ = 38446442551688. Its totient is φ = 3200536320000.

The previous prime is 12002011201189. The next prime is 12002011201261. The reversal of 12002011201200 is 210211020021.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5000836801 + ... + 5000839200.

Almost surely, 212002011201200 is an apocalyptic number.

12002011201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002011201200 is an abundant number, since it is smaller than the sum of its proper divisors (26444431350488).

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

12002011201200 is a wasteful number, since it uses less digits than its factorization.

12002011201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001676022 (or 10001676011 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002011201200 its reverse (210211020021), we get a palindrome (12212222221221).

The spelling of 12002011201200 in words is "twelve trillion, two billion, eleven million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10001676001 20003352002 30005028003 40006704004 50008380005 60010056006 80013408008 100016760010 120020112012 150025140015 160026816016 200033520020 240040224024 250041900025 300050280030 400067040040 480080448048 500083800050 600100560060 750125700075 800134080080 1000167600100 1200201120120 1500251400150 2000335200200 2400402240240 3000502800300 4000670400400 6001005600600 12002011201200