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12480717684500 = 2253132151978151
BaseRepresentation
bin1011010110011110010010…
…1111100111111100010100
31122012010220200012200211122
42311213210233213330110
53113441002211401000
642313321302223112
72425462550632532
oct265474457477424
948163820180748
1012480717684500
113a8205184126a
121496a1b124a98
136c6c07a54600
143120d9d79152
151699bad00085
hexb59e4be7f14

12480717684500 has 144 divisors (see below), whose sum is σ = 29711437426944. Its totient is φ = 4577742000000.

The previous prime is 12480717684473. The next prime is 12480717684503. The reversal of 12480717684500 is 548671708421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12480717684503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12270425 + ... + 13248575.

It is an arithmetic number, because the mean of its divisors is an integer number (206329426576).

Almost surely, 212480717684500 is an apocalyptic number.

12480717684500 is a gapful number since it is divisible by the number (10) 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 12480717684500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14855718713472).

12480717684500 is an abundant number, since it is smaller than the sum of its proper divisors (17230719742444).

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

12480717684500 is a wasteful number, since it uses less digits than its factorization.

12480717684500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978347 (or 978322 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 53.

The spelling of 12480717684500 in words is "twelve trillion, four hundred eighty billion, seven hundred seventeen million, six hundred eighty-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 151 169 250 260 302 325 338 500 604 650 676 755 845 1300 1510 1625 1690 1963 3020 3250 3380 3775 3926 4225 6500 7550 7852 8450 9815 15100 16900 18875 19630 21125 25519 37750 39260 42250 49075 51038 75500 84500 98150 102076 127595 196300 245375 255190 490750 510380 637975 978151 981500 1275950 1956302 2551900 3189875 3912604 4890755 6379750 9781510 12715963 12759500 19563020 24453775 25431926 48907550 50863852 63579815 97815100 122268875 127159630 147700801 165307519 244537750 254319260 295401602 317899075 330615038 489075500 590803204 635798150 661230076 738504005 826537595 1271596300 1477008010 1589495375 1653075190 1920110413 2954016020 3178990750 3306150380 3692520025 3840220826 4132687975 6357981500 7385040050 7680441652 8265375950 9600552065 14770080100 16530751900 18462600125 19201104130 20663439875 24961435369 36925200250 38402208260 41326879750 48002760325 49922870738 73850400500 82653759500 96005520650 99845741476 124807176845 192011041300 240013801625 249614353690 480027603250 499228707380 624035884225 960055206500 1248071768450 2496143536900 3120179421125 6240358842250 12480717684500