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12353314400 = 255272205949
BaseRepresentation
bin10111000000101000…
…01001111001100000
31011212220221101120222
423200110021321200
5200244422030100
65401450222212
7615061303610
oct134024117140
934786841528
1012353314400
11526a13aa49
122489124968
13121b40b4bb
1485290ca40
154c47b1485
hex2e0509e60

12353314400 has 72 divisors (see below), whose sum is σ = 34465762800. Its totient is φ = 4235420160.

The previous prime is 12353314397. The next prime is 12353314423. The reversal of 12353314400 is 441335321.

It is a self number, because there is not a number n which added to its sum of digits gives 12353314400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1097375 + ... + 1108574.

It is an arithmetic number, because the mean of its divisors is an integer number (478691150).

Almost surely, 212353314400 is an apocalyptic number.

12353314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12353314400 is an abundant number, since it is smaller than the sum of its proper divisors (22112448400).

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

12353314400 is a wasteful number, since it uses less digits than its factorization.

12353314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205976 (or 2205963 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 12353314400 its reverse (441335321), we get a palindrome (12794649721).

The spelling of 12353314400 in words is "twelve billion, three hundred fifty-three million, three hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 2205949 4411898 8823796 11029745 15441643 17647592 22059490 30883286 35295184 44118980 55148725 61766572 70590368 77208215 88237960 110297450 123533144 154416430 176475920 220594900 247066288 308832860 352951840 386041075 441189800 494132576 617665720 772082150 882379600 1235331440 1544164300 1764759200 2470662880 3088328600 6176657200 12353314400