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12234420144 = 243515712003
BaseRepresentation
bin10110110010011101…
…00110111110110000
31011120122012221100000
423121032212332300
5200024002421034
65342002030000
7612115566252
oct133116467660
934518187300
1012234420144
115209013a31
122455348300
1311cc8b097b
14840bddcd2
154b9128599
hex2d93a6fb0

12234420144 has 120 divisors (see below), whose sum is σ = 35547849792. Its totient is φ = 4073509440.

The previous prime is 12234420139. The next prime is 12234420161. The reversal of 12234420144 is 44102443221.

12234420144 is a `hidden beast` number, since 1 + 2 + 234 + 420 + 1 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6107047 + ... + 6109049.

Almost surely, 212234420144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12234420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17773924896).

12234420144 is an abundant number, since it is smaller than the sum of its proper divisors (23313429648).

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

12234420144 is a wasteful number, since it uses less digits than its factorization.

12234420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12234420144 its reverse (44102443221), we get a palindrome (56336863365).

The spelling of 12234420144 in words is "twelve billion, two hundred thirty-four million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1571 1944 2003 3142 3888 4006 4713 6009 6284 8012 9426 12018 12568 14139 16024 18027 18852 24036 25136 28278 32048 36054 37704 42417 48072 54081 56556 72108 75408 84834 96144 108162 113112 127251 144216 162243 169668 216324 226224 254502 288432 324486 339336 381753 432648 486729 509004 648972 678672 763506 865296 973458 1018008 1297944 1527012 1946916 2036016 2595888 3054024 3146713 3893832 6108048 6293426 7787664 9440139 12586852 18880278 25173704 28320417 37760556 50347408 56640834 75521112 84961251 113281668 151042224 169922502 226563336 254883753 339845004 453126672 509767506 679690008 764651259 1019535012 1359380016 1529302518 2039070024 3058605036 4078140048 6117210072 12234420144