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12344204400 = 2435211935167
BaseRepresentation
bin10110111111100010…
…11001110001110000
31011212021210120000120
423133301121301300
5200240104020100
65400523050240
7614621002053
oct133761316160
934767716016
1012344204400
115264a88520
122486070980
13121956ba78
1485161aa9a
154c3ab20a0
hex2dfc59c70

12344204400 has 120 divisors (see below), whose sum is σ = 43137429504. Its totient is φ = 2992531200.

The previous prime is 12344204399. The next prime is 12344204417. The reversal of 12344204400 is 440244321.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454384 + ... + 480783.

Almost surely, 212344204400 is an apocalyptic number.

12344204400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344204400 is an abundant number, since it is smaller than the sum of its proper divisors (30793225104).

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

12344204400 is a wasteful number, since it uses less digits than its factorization.

12344204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935199 (or 935188 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12344204400 its reverse (440244321), we get a palindrome (12784448721).

The spelling of 12344204400 in words is "twelve billion, three hundred forty-four million, two hundred four thousand, four 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 935167 1870334 2805501 3740668 4675835 5611002 7481336 9351670 10286837 11222004 14027505 14962672 18703340 20573674 22444008 23379175 28055010 30860511 37406680 41147348 44888016 46758350 51434185 56110020 61721022 70137525 74813360 82294696 93516700 102868370 112220040 123442044 140275050 154302555 164589392 187033400 205736740 224440080 246884088 257170925 280550100 308605110 374066800 411473480 493768176 514341850 561100200 617210220 771512775 822946960 1028683700 1122200400 1234420440 1543025550 2057367400 2468840880 3086051100 4114734800 6172102200 12344204400