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12232301232340 = 2257260149207517
BaseRepresentation
bin1011001000000000110111…
…1110000100000011010100
31121022101201002211101222101
42302000031332010003110
53100403223103413330
642003235215411444
72401516553631400
oct262001576040324
947271632741871
1012232301232340
113996765171a42
121456850b23b84
136a9668a8ab97
143040919b8100
151632cc0354ca
hexb200df840d4

12232301232340 has 72 divisors (see below), whose sum is σ = 29882405233800. Its totient is φ = 4193841915648.

The previous prime is 12232301232331. The next prime is 12232301232341. The reversal of 12232301232340 is 4323210323221.

It can be written as a sum of positive squares in 4 ways, for example, as 548032245264 + 11684268987076 = 740292^2 + 3418226^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12232301232299 and 12232301232308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232301232341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58842262 + ... + 59049778.

It is an arithmetic number, because the mean of its divisors is an integer number (415033406025).

Almost surely, 212232301232340 is an apocalyptic number.

12232301232340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12232301232340 is an abundant number, since it is smaller than the sum of its proper divisors (17650104001460).

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

12232301232340 is a wasteful number, since it uses less digits than its factorization.

12232301232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267689 (or 267680 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 12232301232340 its reverse (4323210323221), we get a palindrome (16555511555561).

The spelling of 12232301232340 in words is "twelve trillion, two hundred thirty-two billion, three hundred one million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 60149 120298 207517 240596 300745 415034 421043 601490 830068 842086 1037585 1202980 1452619 1684172 2075170 2105215 2905238 2947301 4150340 4210430 5810476 5894602 7263095 8420860 10168333 11789204 14526190 14736505 20336666 29052380 29473010 40673332 50841665 58946020 101683330 203366660 12481940033 24963880066 49927760132 62409700165 87373580231 124819400330 174747160462 249638800660 349494320924 436867901155 611615061617 873735802310 1223230123234 1747471604620 2446460246468 3058075308085 6116150616170 12232301232340