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12000001200 = 2435211909091
BaseRepresentation
bin10110010110100000…
…10111110010110000
31010222022010012222220
423023100113302300
5144034000014300
65302425401040
7603241220145
oct131320276260
933868105886
1012000001200
1150a8762570
1223aa939180
131193165235
1481ba1c3cc
154a3770da0
hex2cb417cb0

12000001200 has 120 divisors (see below), whose sum is σ = 41934595776. Its totient is φ = 2909088000.

The previous prime is 12000001159. The next prime is 12000001231. The reversal of 12000001200 is 210000021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441346 + ... + 467745.

Almost surely, 212000001200 is an apocalyptic number.

12000001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000001200 is an abundant number, since it is smaller than the sum of its proper divisors (29934594576).

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

12000001200 is a wasteful number, since it uses less digits than its factorization.

12000001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909123 (or 909112 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12000001200 its reverse (210000021), we get a palindrome (12210001221).

The spelling of 12000001200 in words is "twelve billion, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 909091 1818182 2727273 3636364 4545455 5454546 7272728 9090910 10000001 10909092 13636365 14545456 18181820 20000002 21818184 22727275 27272730 30000003 36363640 40000004 43636368 45454550 50000005 54545460 60000006 68181825 72727280 80000008 90909100 100000010 109090920 120000012 136363650 150000015 160000016 181818200 200000020 218181840 240000024 250000025 272727300 300000030 363636400 400000040 480000048 500000050 545454600 600000060 750000075 800000080 1000000100 1090909200 1200000120 1500000150 2000000200 2400000240 3000000300 4000000400 6000000600 12000001200