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21222201111200 = 2552131643314933
BaseRepresentation
bin1001101001101001011011…
…10000100011001010100000
32210010211012200110220210222
410310310231300203022200
510240201031441024300
6113045202233342212
74320152633036435
oct464645560431240
983124180426728
1021222201111200
1168423152a1611
122469008267968
13bac3252a671b
14535235117b8c
1526c088b78785
hex134d2dc232a0

21222201111200 has 144 divisors (see below), whose sum is σ = 52285539198816. Its totient is φ = 8410951910400.

The previous prime is 21222201111187. The next prime is 21222201111203. The reversal of 21222201111200 is 211110222212.

It is not an unprimeable number, because it can be changed into a prime (21222201111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67228934 + ... + 67543866.

It is an arithmetic number, because the mean of its divisors is an integer number (363094022214).

Almost surely, 221222201111200 is an apocalyptic number.

21222201111200 is a gapful number since it is divisible by the number (20) 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 21222201111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142769599408).

21222201111200 is an abundant number, since it is smaller than the sum of its proper divisors (31063338087616).

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

21222201111200 is a wasteful number, since it uses less digits than its factorization.

21222201111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315727 (or 315714 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21222201111200 its reverse (211110222212), we get a palindrome (21433311333412).

The spelling of 21222201111200 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 131 160 200 262 400 524 643 655 800 1048 1286 1310 2096 2572 2620 3215 3275 4192 5144 5240 6430 6550 10288 10480 12860 13100 16075 20576 20960 25720 26200 32150 51440 52400 64300 84233 102880 104800 128600 168466 257200 314933 336932 421165 514400 629866 673864 842330 1259732 1347728 1574665 1684660 2105825 2519464 2695456 3149330 3369320 4211650 5038928 6298660 6738640 7873325 8423300 10077856 12597320 13477280 15746650 16846600 25194640 31493300 33693200 41256223 50389280 62986600 67386400 82512446 125973200 165024892 202501919 206281115 251946400 330049784 405003838 412562230 660099568 810007676 825124460 1012509595 1031405575 1320199136 1620015352 1650248920 2025019190 2062811150 3240030704 3300497840 4050038380 4125622300 5062547975 6480061408 6600995680 8100076760 8251244600 10125095950 16200153520 16502489200 20250191900 26527751389 32400307040 33004978400 40500383800 53055502778 81000767600 106111005556 132638756945 162001535200 212222011112 265277513890 424444022224 530555027780 663193784725 848888044448 1061110055560 1326387569450 2122220111120 2652775138900 4244440222240 5305550277800 10611100555600 21222201111200