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12087710948480 = 275109173275673
BaseRepresentation
bin1010111111100110001110…
…1101111001110010000000
31120210120111100200221112212
42233321203231321302000
53041021113000322410
641413003500041252
72355210513534326
oct257714355716200
946716440627485
1012087710948480
113940407782682
121432819b33228
13698b352011bb
142db09689bd16
1515e66833eb05
hexafe63b79c80

12087710948480 has 64 divisors (see below), whose sum is σ = 29162295934200. Its totient is φ = 4790725779456.

The previous prime is 12087710948479. The next prime is 12087710948491. The reversal of 12087710948480 is 8484901778021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12083743964224 + 3966984256 = 3476168^2 + 62984^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×120877109484802 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86568077 + ... + 86707596.

Almost surely, 212087710948480 is an apocalyptic number.

12087710948480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12087710948480 is an abundant number, since it is smaller than the sum of its proper divisors (17074584985720).

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

12087710948480 is a wasteful number, since it uses less digits than its factorization.

12087710948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173275801 (or 173275789 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 59.

The spelling of 12087710948480 in words is "twelve trillion, eighty-seven billion, seven hundred ten million, nine hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 320 436 545 640 872 1090 1744 2180 3488 4360 6976 8720 13952 17440 34880 69760 173275673 346551346 693102692 866378365 1386205384 1732756730 2772410768 3465513460 5544821536 6931026920 11089643072 13862053840 18887048357 22179286144 27724107680 37774096714 55448215360 75548193428 94435241785 110896430720 151096386856 188870483570 302192773712 377740967140 604385547424 755481934280 1208771094848 1510963868560 2417542189696 3021927737120 6043855474240 12087710948480