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11221221200 = 2452710139679
BaseRepresentation
bin10100111001101011…
…00011111101010000
31001222000201002200012
422130311203331100
5140440113034300
65053245414052
7545033543420
oct123465437520
931860632605
1011221221200
1148390a5632
122211b6a328
13109aa01b77
14786418480
1545a1db435
hex29cd63f50

11221221200 has 120 divisors (see below), whose sum is σ = 31116103680. Its totient is φ = 3809088000.

The previous prime is 11221221113. The next prime is 11221221217. The reversal of 11221221200 is 212212211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 262961 + ... + 302639.

It is an arithmetic number, because the mean of its divisors is an integer number (259300864).

Almost surely, 211221221200 is an apocalyptic number.

11221221200 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 11221221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15558051840).

11221221200 is an abundant number, since it is smaller than the sum of its proper divisors (19894882480).

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

11221221200 is a wasteful number, since it uses less digits than its factorization.

11221221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39805 (or 39794 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11221221200 its reverse (212212211), we get a palindrome (11433433411).

The spelling of 11221221200 in words is "eleven billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 101 112 140 175 200 202 280 350 400 404 505 560 700 707 808 1010 1400 1414 1616 2020 2525 2800 2828 3535 4040 5050 5656 7070 8080 10100 11312 14140 17675 20200 28280 35350 39679 40400 56560 70700 79358 141400 158716 198395 277753 282800 317432 396790 555506 634864 793580 991975 1111012 1388765 1587160 1983950 2222024 2777530 3174320 3967900 4007579 4444048 5555060 6943825 7935800 8015158 11110120 13887650 15871600 16030316 20037895 22220240 27775300 28053053 32060632 40075790 55550600 56106106 64121264 80151580 100189475 111101200 112212212 140265265 160303160 200378950 224424424 280530530 320606320 400757900 448848848 561061060 701326325 801515800 1122122120 1402652650 1603031600 2244244240 2805305300 5610610600 11221221200