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12004120200 = 23352191052993
BaseRepresentation
bin10110010111000000…
…00101011010001000
31010222120212111012110
423023200011122020
5144041023321300
65303053542320
7603321223662
oct131340053210
933876774173
1012004120200
1151000161a6
1223b01a49a0
131193c78007
1481c3b1532
154a3cd6550
hex2cb805688

12004120200 has 96 divisors (see below), whose sum is σ = 39171376800. Its totient is φ = 3032616960.

The previous prime is 12004120171. The next prime is 12004120207. The reversal of 12004120200 is 202140021.

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

It is not an unprimeable number, because it can be changed into a prime (12004120207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515097 + ... + 537896.

It is an arithmetic number, because the mean of its divisors is an integer number (408035175).

Almost surely, 212004120200 is an apocalyptic number.

12004120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12004120200 is an abundant number, since it is smaller than the sum of its proper divisors (27167256600).

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

12004120200 is a wasteful number, since it uses less digits than its factorization.

12004120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053031 (or 1053022 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12004120200 its reverse (202140021), we get a palindrome (12206260221).

The spelling of 12004120200 in words is "twelve billion, four million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 1052993 2105986 3158979 4211972 5264965 6317958 8423944 10529930 12635916 15794895 20006867 21059860 25271832 26324825 31589790 40013734 42119720 52649650 60020601 63179580 78974475 80027468 100034335 105299300 120041202 126359160 157948950 160054936 200068670 210598600 240082404 300103005 315897900 400137340 480164808 500171675 600206010 631795800 800274680 1000343350 1200412020 1500515025 2000686700 2400824040 3001030050 4001373400 6002060100 12004120200