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12130100400 = 2435211918947
BaseRepresentation
bin10110100110000001…
…01010010010110000
31011022100220221112210
423103000222102300
5144320301203100
65323354052120
7606411103125
oct132300522260
934270827483
1012130100400
115165141a70
12242641a040
1311b40b6c02
1483100674c
154aedbdc50
hex2d302a4b0

12130100400 has 120 divisors (see below), whose sum is σ = 42389233344. Its totient is φ = 2940627200.

The previous prime is 12130100393. The next prime is 12130100419. The reversal of 12130100400 is 400103121.

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 (12).

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 23 ways as a sum of consecutive naturals, for example, 446274 + ... + 472673.

Almost surely, 212130100400 is an apocalyptic number.

12130100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130100400 is an abundant number, since it is smaller than the sum of its proper divisors (30259132944).

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

12130100400 is a wasteful number, since it uses less digits than its factorization.

12130100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918979 (or 918968 counting only the distinct ones).

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

Adding to 12130100400 its reverse (400103121), we get a palindrome (12530203521).

The spelling of 12130100400 in words is "twelve billion, one hundred thirty million, one hundred 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 918947 1837894 2756841 3675788 4594735 5513682 7351576 9189470 10108417 11027364 13784205 14703152 18378940 20216834 22054728 22973675 27568410 30325251 36757880 40433668 44109456 45947350 50542085 55136820 60650502 68921025 73515760 80867336 91894700 101084170 110273640 121301004 137842050 151626255 161734672 183789400 202168340 220547280 242602008 252710425 275684100 303252510 367578800 404336680 485204016 505420850 551368200 606505020 758131275 808673360 1010841700 1102736400 1213010040 1516262550 2021683400 2426020080 3032525100 4043366800 6065050200 12130100400