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12054220144 = 242359836689
BaseRepresentation
bin10110011100111110…
…01100110101110000
31011010002010211101221
423032133030311300
5144141340021034
65312043434424
7604500115651
oct131637146560
934102124357
1012054220144
11512632500a
122404b25a14
1311a1469a55
14824cd3528
154a83d0bb4
hex2ce7ccd70

12054220144 has 80 divisors (see below), whose sum is σ = 25085894400. Its totient is φ = 5598230528.

The previous prime is 12054220133. The next prime is 12054220147. The reversal of 12054220144 is 44102245021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12054220147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1798752 + ... + 1805440.

It is an arithmetic number, because the mean of its divisors is an integer number (313573680).

Almost surely, 212054220144 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 12054220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542947200).

12054220144 is an abundant number, since it is smaller than the sum of its proper divisors (13031674256).

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

12054220144 is a wasteful number, since it uses less digits than its factorization.

12054220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 12054220144 its reverse (44102245021), we get a palindrome (56156465165).

The spelling of 12054220144 in words is "twelve billion, fifty-four million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 59 83 92 118 166 184 236 332 368 472 664 944 1328 1357 1909 2714 3818 4897 5428 6689 7636 9794 10856 13378 15272 19588 21712 26756 30544 39176 53512 78352 107024 112631 153847 225262 307694 394651 450524 555187 615388 789302 901048 1110374 1230776 1578604 1802096 2220748 2461552 3157208 4441496 6314416 8882992 9076973 12769301 18153946 25538602 32756033 36307892 51077204 65512066 72615784 102154408 131024132 145231568 204308816 262048264 524096528 753388759 1506777518 3013555036 6027110072 12054220144