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2201121111200 = 255211277902987
BaseRepresentation
bin100000000001111101000…
…010101011110010100000
321210102110220200212220112
4200001331002223302200
5242030344001024300
64403103040230452
7315011555512604
oct40017502536240
97712426625815
102201121111200
11779543536470
122b671300b428
1312c745c1634b
147876b807504
153c3c9aa7e35
hex2007d0abca0

2201121111200 has 144 divisors (see below), whose sum is σ = 5883154641504. Its totient is φ = 797517235200.

The previous prime is 2201121111199. The next prime is 2201121111247. The reversal of 2201121111200 is 21111211022.

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, 1986107 + ... + 2889093.

It is an arithmetic number, because the mean of its divisors is an integer number (40855240566).

Almost surely, 22201121111200 is an apocalyptic number.

2201121111200 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 2201121111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941577320752).

2201121111200 is an abundant number, since it is smaller than the sum of its proper divisors (3682033530304).

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

2201121111200 is a wasteful number, since it uses less digits than its factorization.

2201121111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903295 (or 903282 counting only the distinct ones).

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

Adding to 2201121111200 its reverse (21111211022), we get a palindrome (2222232322222).

The spelling of 2201121111200 in words is "two trillion, two hundred one billion, one hundred twenty-one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 277 352 400 440 550 554 800 880 1100 1108 1385 1760 2200 2216 2770 3047 4400 4432 5540 6094 6925 8800 8864 11080 12188 13850 15235 22160 24376 27700 30470 44320 48752 55400 60940 76175 97504 110800 121880 152350 221600 243760 304700 487520 609400 902987 1218800 1805974 2437600 3611948 4514935 7223896 9029870 9932857 14447792 18059740 19865714 22574675 28895584 36119480 39731428 45149350 49664285 72238960 79462856 90298700 99328570 144477920 158925712 180597400 198657140 248321425 250127399 317851424 361194800 397314280 496642850 500254798 722389600 794628560 993285700 1000509596 1250636995 1589257120 1986571400 2001019192 2501273990 2751401389 3973142800 4002038384 5002547980 5502802778 6253184975 7946285600 8004076768 10005095960 11005605556 12506369950 13757006945 20010191920 22011211112 25012739900 27514013890 40020383840 44022422224 50025479800 55028027780 68785034725 88044844448 100050959600 110056055560 137570069450 200101919200 220112111120 275140138900 440224222240 550280277800 1100560555600 2201121111200