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12224519341152 = 253293274342031
BaseRepresentation
bin1011000111100011111000…
…1000100000010001100000
31121021122121202211101010020
42301320332020200101200
53100241303422404102
641555511110433440
72401122661640106
oct261707610402140
947248552741106
1012224519341152
113993431525a08
12145523a962880
136a89c87a2741
14303954287c76
15162ec3c6ebbc
hexb1e3e220460

12224519341152 has 48 divisors (see below), whose sum is σ = 32090464852992. Its totient is φ = 4074699896960.

The previous prime is 12224519341129. The next prime is 12224519341157. The reversal of 12224519341152 is 25114391542221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224519341157) 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 7 ways as a sum of consecutive naturals, for example, 644377 + ... + 4986407.

It is an arithmetic number, because the mean of its divisors is an integer number (668551351104).

Almost surely, 212224519341152 is an apocalyptic number.

12224519341152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12224519341152 is an abundant number, since it is smaller than the sum of its proper divisors (19865945511840).

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

12224519341152 is a wasteful number, since it uses less digits than its factorization.

12224519341152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371371 (or 4371363 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The spelling of 12224519341152 in words is "twelve trillion, two hundred twenty-four billion, five hundred nineteen million, three hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 29327 58654 87981 117308 175962 234616 351924 469232 703848 938464 1407696 2815392 4342031 8684062 13026093 17368124 26052186 34736248 52104372 69472496 104208744 138944992 208417488 416834976 127338743137 254677486274 382016229411 509354972548 764032458822 1018709945096 1528064917644 2037419890192 3056129835288 4074839780384 6112259670576 12224519341152