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12210221221120 = 28513733787333
BaseRepresentation
bin1011000110101110100111…
…1001100000010100000000
31121020021201022101121202001
42301223221321200110000
53100023013113033440
641545144224233344
72400105443632006
oct261535171402400
947207638347661
1012210221221120
11398836461778a
12145250a46b854
136a755a4a36a0
14302d9936aa76
1516293889eb9a
hexb1ae9e60500

12210221221120 has 72 divisors (see below), whose sum is σ = 31497087524616. Its totient is φ = 4508389367808.

The previous prime is 12210221221103. The next prime is 12210221221129. The reversal of 12210221221120 is 2112212201221.

It can be written as a sum of positive squares in 4 ways, for example, as 236849635584 + 11973371585536 = 486672^2 + 3460256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210221221129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366877027 + ... + 366910306.

It is an arithmetic number, because the mean of its divisors is an integer number (437459548953).

Almost surely, 212210221221120 is an apocalyptic number.

12210221221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210221221120 is an abundant number, since it is smaller than the sum of its proper divisors (19286866303496).

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

12210221221120 is an equidigital number, since it uses as much as digits as its factorization.

12210221221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733787367 (or 733787353 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12210221221120 its reverse (2112212201221), we get a palindrome (14322433422341).

The spelling of 12210221221120 in words is "twelve trillion, two hundred ten billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 16640 733787333 1467574666 2935149332 3668936665 5870298664 7337873330 9539235329 11740597328 14675746660 19078470658 23481194656 29351493320 38156941316 46962389312 47696176645 58702986640 76313882632 93924778624 95392353290 117405973280 152627765264 187849557248 190784706580 234811946560 305255530528 381569413160 469623893120 610511061056 763138826320 939247786240 1221022122112 1526277652640 2442044244224 3052555305280 6105110610560 12210221221120