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1121122212200 = 2352411187115183
BaseRepresentation
bin10000010100001000000…
…101110101100101101000
310222011210221020022201022
4100110020011311211220
5121332024241242300
62215011511512012
7143666311366064
oct20241005654550
93864727208638
101121122212200
113a2513296711
12161345688608
138194bb0cba3
143c396830aa4
151e269ede285
hex10508175968

1121122212200 has 96 divisors (see below), whose sum is σ = 2672457701760. Its totient is φ = 437138726400.

The previous prime is 1121122212169. The next prime is 1121122212229. The reversal of 1121122212200 is 22122211211.

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, 9675809 + ... + 9790991.

It is an arithmetic number, because the mean of its divisors is an integer number (27838101060).

Almost surely, 21121122212200 is an apocalyptic number.

1121122212200 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 1121122212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336228850880).

1121122212200 is an abundant number, since it is smaller than the sum of its proper divisors (1551335489560).

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

1121122212200 is a wasteful number, since it uses less digits than its factorization.

1121122212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116427 (or 116418 counting only the distinct ones).

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

Adding to 1121122212200 its reverse (22122211211), we get a palindrome (1143244423411).

The spelling of 1121122212200 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1187 1640 2050 2374 4100 4748 5935 8200 9496 11870 23740 29675 47480 48667 59350 97334 115183 118700 194668 230366 237400 243335 389336 460732 486670 575915 921464 973340 1151830 1216675 1946680 2303660 2433350 2879575 4607320 4722503 4866700 5759150 9445006 9733400 11518300 18890012 23036600 23612515 37780024 47225030 94450060 118062575 136722221 188900120 236125150 273444442 472250300 546888884 683611105 944500600 1093777768 1367222210 2734444420 3418055525 5468888840 5605611061 6836111050 11211222122 13672222100 22422444244 27344444200 28028055305 44844888488 56056110610 112112221220 140140276525 224224442440 280280553050 560561106100 1121122212200