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12112004400 = 2435219315227
BaseRepresentation
bin10110100011110111…
…01000010100110000
31011021002212120111120
423101323220110300
5144301133120100
65321510142240
7606101224116
oct132173502460
934232776446
1012112004400
115155a021a1
122420351980
1311b041c312
1482c855ab6
154ad4e70a0
hex2d1ee8530

12112004400 has 120 divisors (see below), whose sum is σ = 38826306624. Its totient is φ = 3227577600.

The previous prime is 12112004371. The next prime is 12112004431. The reversal of 12112004400 is 440021121.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12112004400.

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, 2314587 + ... + 2319813.

Almost surely, 212112004400 is an apocalyptic number.

12112004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19413153312).

12112004400 is an abundant number, since it is smaller than the sum of its proper divisors (26714302224).

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

12112004400 is a wasteful number, since it uses less digits than its factorization.

12112004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7179 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12112004400 its reverse (440021121), we get a palindrome (12552025521).

The spelling of 12112004400 in words is "twelve billion, one hundred twelve million, four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1931 3862 5227 5793 7724 9655 10454 11586 15448 15681 19310 20908 23172 26135 28965 30896 31362 38620 41816 46344 48275 52270 57930 62724 77240 78405 83632 92688 96550 104540 115860 125448 130675 144825 154480 156810 193100 209080 231720 250896 261350 289650 313620 386200 392025 418160 463440 522700 579300 627240 772400 784050 1045400 1158600 1254480 1568100 2090800 2317200 3136200 6272400 10093337 20186674 30280011 40373348 50466685 60560022 80746696 100933370 121120044 151400055 161493392 201866740 242240088 252333425 302800110 403733480 484480176 504666850 605600220 757000275 807466960 1009333700 1211200440 1514000550 2018667400 2422400880 3028001100 4037334800 6056002200 12112004400