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11212111200 = 253524671713
BaseRepresentation
bin10100111000100101…
…10011110101100000
31001221101120021002210
422130102303311200
5140430300024300
65052322242120
7544563241563
oct123422636540
931841507083
1011212111200
114833a43104
12220aab6340
131098b62434
147851264da
154594dc050
hex29c4b3d60

11212111200 has 72 divisors (see below), whose sum is σ = 36495429768. Its totient is φ = 2989895680.

The previous prime is 11212111193. The next prime is 11212111213. The reversal of 11212111200 is 211121211.

It is a super-2 number, since 2×112121112002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2333457 + ... + 2338256.

It is an arithmetic number, because the mean of its divisors is an integer number (506880969).

Almost surely, 211212111200 is an apocalyptic number.

11212111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212111200 is an abundant number, since it is smaller than the sum of its proper divisors (25283318568).

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

11212111200 is a wasteful number, since it uses less digits than its factorization.

11212111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671736 (or 4671723 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11212111200 its reverse (211121211), we get a palindrome (11423232411).

It can be divided in two parts, 112121 and 11200, that added together give a palindrome (123321).

The spelling of 11212111200 in words is "eleven billion, two hundred twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 4671713 9343426 14015139 18686852 23358565 28030278 37373704 46717130 56060556 70075695 74747408 93434260 112121112 116792825 140151390 149494816 186868520 224242224 233585650 280302780 350378475 373737040 448484448 467171300 560605560 700756950 747474080 934342600 1121211120 1401513900 1868685200 2242422240 2803027800 3737370400 5606055600 11212111200