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11120102211200 = 275213032666947
BaseRepresentation
bin1010000111010001100110…
…1111011111111010000000
31110101001221001011011012212
42201310121233133322000
52424142432131224300
635352300542441252
72225254333140503
oct241643157377200
943331831134185
1011120102211200
1135a80108858a4
1212b7197893228
1362880c847508
142a63042c713a
151443d55ee935
hexa1d19bdfe80

11120102211200 has 96 divisors (see below), whose sum is σ = 27491220017760. Its totient is φ = 4444625525760.

The previous prime is 11120102211199. The next prime is 11120102211203. The reversal of 11120102211200 is 211220102111.

It is not an unprimeable number, because it can be changed into a prime (11120102211203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2836127 + ... + 5503073.

It is an arithmetic number, because the mean of its divisors is an integer number (286366875185).

Almost surely, 211120102211200 is an apocalyptic number.

11120102211200 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 11120102211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13745610008880).

11120102211200 is an abundant number, since it is smaller than the sum of its proper divisors (16371117806560).

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

11120102211200 is a wasteful number, since it uses less digits than its factorization.

11120102211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668274 (or 2668257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11120102211200 its reverse (211220102111), we get a palindrome (11331322313311).

The spelling of 11120102211200 in words is "eleven trillion, one hundred twenty billion, one hundred two million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1303 1600 2606 3200 5212 6515 10424 13030 20848 26060 32575 41696 52120 65150 83392 104240 130300 166784 208480 260600 416960 521200 833920 1042400 2084800 2666947 4169600 5333894 10667788 13334735 21335576 26669470 42671152 53338940 66673675 85342304 106677880 133347350 170684608 213355760 266694700 341369216 426711520 533389400 853423040 1066778800 1706846080 2133557600 3475031941 4267115200 6950063882 8534230400 13900127764 17375159705 27800255528 34750319410 55600511056 69500638820 86875798525 111201022112 139001277640 173751597050 222402044224 278002555280 347503194100 444804088448 556005110560 695006388200 1112010221120 1390012776400 2224020442240 2780025552800 5560051105600 11120102211200