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12232221301000 = 235341298346861
BaseRepresentation
bin1011001000000000100100…
…1101001001100100001000
31121022101111112102110210101
42302000021031021210020
53100403042123113000
642003223242255144
72401514563342411
oct262001115114410
947271445373711
1012232221301000
113996724038388
12145682a1b74b4
136a9655352b2c
1430408512c808
151632c4ee6e6a
hexb2009349908

12232221301000 has 64 divisors (see below), whose sum is σ = 29321529597360. Its totient is φ = 4773549760000.

The previous prime is 12232221300991. The next prime is 12232221301009. The reversal of 12232221301000 is 10312223221.

It is an interprime number because it is at equal distance from previous prime (12232221300991) and next prime (12232221301009).

It can be written as a sum of positive squares in 8 ways, for example, as 235017465796 + 11997203835204 = 484786^2 + 3463698^2 .

It is not an unprimeable number, because it can be changed into a prime (12232221301009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149132431 + ... + 149214430.

Almost surely, 212232221301000 is an apocalyptic number.

12232221301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12232221301000 is an abundant number, since it is smaller than the sum of its proper divisors (17089308296360).

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

12232221301000 is a wasteful number, since it uses less digits than its factorization.

12232221301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298346923 (or 298346909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12232221301000 its reverse (10312223221), we get a palindrome (12242533524221).

The spelling of 12232221301000 in words is "twelve trillion, two hundred thirty-two billion, two hundred twenty-one million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 20500 41000 298346861 596693722 1193387444 1491734305 2386774888 2983468610 5966937220 7458671525 11933874440 12232221301 14917343050 24464442602 29834686100 37293357625 48928885204 59669372200 61161106505 74586715250 97857770408 122322213010 149173430500 244644426020 298346861000 305805532525 489288852040 611611065050 1223222130100 1529027662625 2446444260200 3058055325250 6116110650500 12232221301000