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12361315411356 = 2231729532743849
BaseRepresentation
bin1011001111100001011111…
…0100000110010110011100
31121202201201022202202102220
42303320113310012112130
53110011433221130411
642142413201145340
72414034630231162
oct263702764062634
947681638682386
1012361315411356
113a3644a32218a
12147785762b250
136b888964b292
1430a410187232
1516682d568b06
hexb3e17d0659c

12361315411356 has 144 divisors (see below), whose sum is σ = 32200195356000. Its totient is φ = 3673680797696.

The previous prime is 12361315411351. The next prime is 12361315411387. The reversal of 12361315411356 is 65311451316321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12361315411351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16246120 + ... + 16989968.

It is an arithmetic number, because the mean of its divisors is an integer number (223612467750).

Almost surely, 212361315411356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12361315411356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16100097678000).

12361315411356 is an abundant number, since it is smaller than the sum of its proper divisors (19838879944644).

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

12361315411356 is a wasteful number, since it uses less digits than its factorization.

12361315411356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744008 (or 743953 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

Adding to 12361315411356 its reverse (65311451316321), we get a palindrome (77672766727677).

The spelling of 12361315411356 in words is "twelve trillion, three hundred sixty-one billion, three hundred fifteen million, four hundred eleven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 29 34 51 53 58 68 87 102 106 116 159 174 204 212 318 348 493 636 901 986 1479 1537 1802 1972 2703 2809 2958 3074 3604 4611 5406 5618 5916 6148 8427 9222 10812 11236 16854 18444 26129 33708 47753 52258 78387 81461 95506 104516 143259 156774 162922 191012 244383 286518 313548 325844 488766 573036 743849 977532 1384837 1487698 2231547 2769674 2975396 4154511 4463094 5539348 8309022 8926188 12645433 16618044 21571621 25290866 37936299 39423997 43143242 50581732 64714863 75872598 78847994 86286484 118271991 129429726 151745196 157695988 236543982 258859452 366717557 473087964 670207949 733435114 1100152671 1143295913 1340415898 1466870228 2010623847 2089471841 2200305342 2286591826 2680831796 3429887739 4021247694 4178943682 4400610684 4573183652 6268415523 6859775478 8042495388 8357887364 12536831046 13719550956 19436030521 25073662092 35521021297 38872061042 58308091563 60594683389 71042042594 77744122084 106563063891 116616183126 121189366778 142084085188 181784050167 213126127782 233232366252 242378733556 363568100334 426252255564 727136200668 1030109617613 2060219235226 3090328852839 4120438470452 6180657705678 12361315411356