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12001131332130 = 2351761346578243
BaseRepresentation
bin1010111010100011101100…
…1010111000001000100010
31120111022000110212201201110
42232220323022320020202
53033111304110112010
641305124342244150
72346024136122633
oct256507312701042
946438013781643
1012001131332130
11390771884a436
121419a96726656
13690917bc0995
142d6c01d5588a
1515c29c3e5120
hexaea3b2b8222

12001131332130 has 128 divisors (see below), whose sum is σ = 30557008850688. Its totient is φ = 3006124572672.

The previous prime is 12001131332107. The next prime is 12001131332131. The reversal of 12001131332130 is 3123313110021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12001131332097 and 12001131332106.

It is not an unprimeable number, because it can be changed into a prime (12001131332131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1455913789 + ... + 1455922031.

It is an arithmetic number, because the mean of its divisors is an integer number (238726631646).

Almost surely, 212001131332130 is an apocalyptic number.

12001131332130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001131332130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15278504425344).

12001131332130 is an abundant number, since it is smaller than the sum of its proper divisors (18555877518558).

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

12001131332130 is a wasteful number, since it uses less digits than its factorization.

12001131332130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13540.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12001131332130 its reverse (3123313110021), we get a palindrome (15124444442151).

The spelling of 12001131332130 in words is "twelve trillion, one billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 613 1226 1839 3065 3678 4657 6130 8243 9195 9314 10421 13971 16486 18390 20842 23285 24729 27942 31263 41215 46570 49458 52105 62526 69855 79169 82430 104210 123645 139710 140131 156315 158338 237507 247290 280262 312630 395845 420393 475014 700655 791690 840786 1187535 1401310 2101965 2375070 2854741 4203930 5052959 5709482 8564223 10105918 14273705 15158877 17128446 25264795 28547410 30317754 38387651 42821115 48530597 50529590 75794385 76775302 85642230 85900303 97061194 115162953 145591791 151588770 171800606 191938255 230325906 242652985 257700909 291183582 383876510 429501515 485305970 515401818 575814765 652590067 727958955 859003030 1151629530 1288504545 1305180134 1455917910 1957770201 2577009090 3262950335 3915540402 6525900670 9788851005 19577702010 23531630063 47063260126 70594890189 117658150315 141189780378 235316300630 352974450945 400037711071 705948901890 800075422142 1200113133213 2000188555355 2400226266426 4000377110710 6000565666065 12001131332130