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12500310144 = 273717326881
BaseRepresentation
bin10111010010001001…
…11001100010000000
31012021011112112211210
423221010321202000
5201100034411034
65424221010120
7621524611620
oct135104714200
935234475753
1012500310144
115335110033
12250a3b3940
1312429c7b2a
14868254880
154d264a8e9
hex2e9139880

12500310144 has 128 divisors (see below), whose sum is σ = 38168138880. Its totient is φ = 3550740480.

The previous prime is 12500310143. The next prime is 12500310157. The reversal of 12500310144 is 44101300521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12500310144.

It is not an unprimeable number, because it can be changed into a prime (12500310143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451584 + ... + 478464.

It is an arithmetic number, because the mean of its divisors is an integer number (298188585).

Almost surely, 212500310144 is an apocalyptic number.

12500310144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12500310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084069440).

12500310144 is an abundant number, since it is smaller than the sum of its proper divisors (25667828736).

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

12500310144 is a wasteful number, since it uses less digits than its factorization.

12500310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27078 (or 27066 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 12500310144 its reverse (44101300521), we get a palindrome (56601610665).

The spelling of 12500310144 in words is "twelve billion, five hundred million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 173 192 224 336 346 384 448 519 672 692 896 1038 1211 1344 1384 2076 2422 2688 2768 3633 4152 4844 5536 7266 8304 9688 11072 14532 16608 19376 22144 26881 29064 33216 38752 53762 58128 66432 77504 80643 107524 116256 155008 161286 188167 215048 232512 322572 376334 430096 465024 564501 645144 752668 860192 1129002 1290288 1505336 1720384 2258004 2580576 3010672 3440768 4516008 4650413 5161152 6021344 9032016 9300826 10322304 12042688 13951239 18064032 18601652 24085376 27902478 32552891 36128064 37203304 55804956 65105782 72256128 74406608 97658673 111609912 130211564 148813216 195317346 223219824 260423128 297626432 390634692 446439648 520846256 595252864 781269384 892879296 1041692512 1562538768 1785758592 2083385024 3125077536 4166770048 6250155072 12500310144