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12102013200 = 2435229347759
BaseRepresentation
bin10110100010101011…
…00001000100010000
31011020102001222011010
423101111201010100
5144241103410300
65320512050520
7605620262214
oct132125410420
934212058133
1012102013200
1151502a8702
122418b33a40
1311ab331774
1482b3b4944
154ac6c1a50
hex2d1561110

12102013200 has 120 divisors (see below), whose sum is σ = 40103683200. Its totient is φ = 3115911680.

The previous prime is 12102013129. The next prime is 12102013211. The reversal of 12102013200 is 231020121.

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 (12).

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, 139080 + ... + 208679.

It is an arithmetic number, because the mean of its divisors is an integer number (334197360).

Almost surely, 212102013200 is an apocalyptic number.

12102013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102013200 is an abundant number, since it is smaller than the sum of its proper divisors (28001670000).

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

12102013200 is a wasteful number, since it uses less digits than its factorization.

12102013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347809 (or 347798 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12102013200 its reverse (231020121), we get a palindrome (12333033321).

The spelling of 12102013200 in words is "twelve billion, one hundred two million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 347759 695518 1043277 1391036 1738795 2086554 2782072 3477590 4173108 5216385 5564144 6955180 8346216 8693975 10085011 10432770 13910360 16692432 17387950 20170022 20865540 26081925 27820720 30255033 34775900 40340044 41731080 50425055 52163850 60510066 69551800 80680088 83462160 100850110 104327700 121020132 139103600 151275165 161360176 201700220 208655400 242040264 252125275 302550330 403400440 417310800 484080528 504250550 605100660 756375825 806800880 1008501100 1210201320 1512751650 2017002200 2420402640 3025503300 4034004400 6051006600 12102013200