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12135126227848 = 23133793976311229
BaseRepresentation
bin1011000010010110110111…
…1000110101101110001000
31120222002212210220201000221
42300211231320311232020
53042310214303242343
641450444450035424
72361506512004401
oct260455570655610
946862783821027
1012135126227848
113959529436878
12143ba51278b74
136a045061a820
142dd4b3c069a8
151609e0d215ed
hexb096de35b88

12135126227848 has 128 divisors (see below), whose sum is σ = 24689264544000. Its totient is φ = 5558621967360.

The previous prime is 12135126227831. The next prime is 12135126227891. The reversal of 12135126227848 is 84872262153121.

12135126227848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121351262278482 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 12135126227795 and 12135126227804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9873983298 + ... + 9873984526.

It is an arithmetic number, because the mean of its divisors is an integer number (192884879250).

Almost surely, 212135126227848 is an apocalyptic number.

It is an amenable number.

12135126227848 is an abundant number, since it is smaller than the sum of its proper divisors (12554138316152).

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

12135126227848 is a wasteful number, since it uses less digits than its factorization.

12135126227848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2651 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The spelling of 12135126227848 in words is "twelve trillion, one hundred thirty-five billion, one hundred twenty-six million, two hundred twenty-seven thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 379 397 631 758 794 1229 1262 1516 1588 2458 2524 3032 3176 4916 4927 5048 5161 8203 9832 9854 10322 15977 16406 19708 20644 31954 32812 39416 41288 63908 65624 127816 150463 239149 250507 300926 465791 478298 487913 501014 601852 775499 931582 956596 975826 1002028 1203704 1550998 1863164 1913192 1951652 1956019 2004056 3101996 3108937 3256591 3726328 3903304 3912038 6055283 6203992 6217874 6342869 6513182 7824076 10081487 12110566 12435748 12685738 13026364 15648152 20162974 24221132 24871496 25371476 26052728 40325948 48442264 50742952 80651896 94942153 184919027 189884306 293914121 307873103 369838054 379768612 587828242 615746206 739676108 759537224 1175656484 1231492412 1234247989 1479352216 2351312968 2403947351 2462984824 2468495978 3820883573 4002350339 4807894702 4936991956 7641767146 8004700678 9615789404 9873983912 15283534292 16009401356 19231578808 30567068584 32018802712 116683906037 233367812074 466735624148 933471248296 1516890778481 3033781556962 6067563113924 12135126227848