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12131130301122 = 2372176073998677
BaseRepresentation
bin1011000010000111111110…
…1101100101101011000010
31120221201120022212121001210
42300201333231211223002
53042224023324113442
641444544143310550
72361305501124300
oct260417755455302
946851508777053
1012131130301122
113957868884998
12143b116bab456
1369cc647c4141
142dd215233270
1516085a10319c
hexb087fb65ac2

12131130301122 has 96 divisors (see below), whose sum is σ = 29932887909888. Its totient is φ = 3256777649664.

The previous prime is 12131130301109. The next prime is 12131130301141. The reversal of 12131130301122 is 22110303113121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 1034448 + ... + 5033124.

It is an arithmetic number, because the mean of its divisors is an integer number (311800915728).

Almost surely, 212131130301122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131130301122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966443954944).

12131130301122 is an abundant number, since it is smaller than the sum of its proper divisors (17801757608766).

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

12131130301122 is a wasteful number, since it uses less digits than its factorization.

12131130301122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999320 (or 3999313 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12131130301122 its reverse (22110303113121), we get a palindrome (34241433414243).

The spelling of 12131130301122 in words is "twelve trillion, one hundred thirty-one billion, one hundred thirty million, three hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 607 714 833 1214 1666 1821 2499 3642 4249 4998 8498 10319 12747 20638 25494 29743 30957 59486 61914 72233 89229 144466 178458 216699 433398 505631 1011262 1516893 3033786 3998677 7997354 11996031 23992062 27990739 55981478 67977509 83972217 135955018 167944434 195935173 203932527 391870346 407865054 475842563 587805519 951685126 1175611038 1427527689 2427196939 2855055378 3330897941 4854393878 6661795882 7281590817 9992693823 14563181634 16990378573 19985387646 33980757146 41262347963 50971135719 82524695926 101942271438 118932650011 123787043889 237865300022 247574087778 288836435741 356797950033 577672871482 713595900066 866509307223 1733018614446 2021855050187 4043710100374 6065565150561 12131130301122