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12260127057312 = 253373342385139
BaseRepresentation
bin1011001001101000100010…
…0001001010010110100000
31121102001112100000202220110
42302122020201022112200
53101332220011313222
642024120303411320
72403523243350501
oct262321041122640
947361470022813
1012260127057312
1139a7544115102
1214601178b3b40
136ac181894184
14305571388ba8
15163da9d4430c
hexb268884a5a0

12260127057312 has 48 divisors (see below), whose sum is σ = 32269114674720. Its totient is φ = 4075752682752.

The previous prime is 12260127057301. The next prime is 12260127057317. The reversal of 12260127057312 is 21375072106221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×122601270573122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12260127057317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171156762 + ... + 171228377.

It is an arithmetic number, because the mean of its divisors is an integer number (672273222390).

Almost surely, 212260127057312 is an apocalyptic number.

12260127057312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12260127057312 is an abundant number, since it is smaller than the sum of its proper divisors (20008987617408).

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

12260127057312 is a wasteful number, since it uses less digits than its factorization.

12260127057312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342385525 (or 342385517 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 12260127057312 in words is "twelve trillion, two hundred sixty billion, one hundred twenty-seven million, fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 373 746 1119 1492 2238 2984 4476 5968 8952 11936 17904 35808 342385139 684770278 1027155417 1369540556 2054310834 2739081112 4108621668 5478162224 8217243336 10956324448 16434486672 32868973344 127709656847 255419313694 383128970541 510838627388 766257941082 1021677254776 1532515882164 2043354509552 3065031764328 4086709019104 6130063528656 12260127057312