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11212031200 = 255256924631
BaseRepresentation
bin10100111000100101…
…00000010011100000
31001221101102012100211
422130102200103200
5140430234444300
65052320423504
7544562456416
oct123422402340
931841365324
1011212031200
114833998a97
12220aa77b94
131098b34bb6
147851052b6
154594c34ba
hex29c4a04e0

11212031200 has 72 divisors (see below), whose sum is σ = 27420588720. Its totient is φ = 4476748800.

The previous prime is 11212031189. The next prime is 11212031209. The reversal of 11212031200 is 213021211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212031209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442885 + ... + 467515.

It is an arithmetic number, because the mean of its divisors is an integer number (380841510).

Almost surely, 211212031200 is an apocalyptic number.

11212031200 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 11212031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710294360).

11212031200 is an abundant number, since it is smaller than the sum of its proper divisors (16208557520).

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

11212031200 is a wasteful number, since it uses less digits than its factorization.

11212031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25220 (or 25207 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11212031200 its reverse (213021211), we get a palindrome (11425052411).

The spelling of 11212031200 in words is "eleven billion, two hundred twelve million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 569 800 1138 2276 2845 4552 5690 9104 11380 14225 18208 22760 24631 28450 45520 49262 56900 91040 98524 113800 123155 197048 227600 246310 394096 455200 492620 615775 788192 985240 1231550 1970480 2463100 3940960 4926200 9852400 14015039 19704800 28030078 56060156 70075195 112120312 140150390 224240624 280300780 350375975 448481248 560601560 700751950 1121203120 1401503900 2242406240 2803007800 5606015600 11212031200