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12232141344 = 253314157571
BaseRepresentation
bin10110110010001011…
…11010101000100000
31011120110221011102000
423121011322220200
5200022412010334
65341441124000
7612060325443
oct133105725040
934513834360
1012232141344
1152077a7925
122454629600
1311cc293677
148407a965a
154b8d28299
hex2d917aa20

12232141344 has 48 divisors (see below), whose sum is σ = 35677081440. Its totient is φ = 4077380160.

The previous prime is 12232141331. The next prime is 12232141349. The reversal of 12232141344 is 44314123221.

12232141344 is a `hidden beast` number, since 1 + 223 + 21 + 413 + 4 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12232141349) 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, 7077922 + ... + 7079649.

It is an arithmetic number, because the mean of its divisors is an integer number (743272530).

Almost surely, 212232141344 is an apocalyptic number.

It is an amenable number.

12232141344 is an abundant number, since it is smaller than the sum of its proper divisors (23444940096).

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

12232141344 is a wasteful number, since it uses less digits than its factorization.

12232141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14157590 (or 14157576 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12232141344 its reverse (44314123221), we get a palindrome (56546264565).

The spelling of 12232141344 in words is "twelve billion, two hundred thirty-two million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14157571 28315142 42472713 56630284 84945426 113260568 127418139 169890852 226521136 254836278 339781704 382254417 453042272 509672556 679563408 764508834 1019345112 1359126816 1529017668 2038690224 3058035336 4077380448 6116070672 12232141344