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12011201201130 = 23519372957192601
BaseRepresentation
bin1010111011001001001101…
…1000011000001111101010
31120112021000021010002002120
42232302103120120033222
53033242420001414010
641313511502412110
72346531522444405
oct256622330301752
946467007102076
1012011201201130
113910a15a4601a
12141ba26b91036
13691861202151
142d74b94a4d3c
1515c68b4a4e70
hexaec936183ea

12011201201130 has 128 divisors (see below), whose sum is σ = 31174898699520. Its totient is φ = 2951383910400.

The previous prime is 12011201201123. The next prime is 12011201201147. The reversal of 12011201201130 is 3110210211021.

12011201201130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62266830 + ... + 62459430.

It is an arithmetic number, because the mean of its divisors is an integer number (243553896090).

Almost surely, 212011201201130 is an apocalyptic number.

12011201201130 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 12011201201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587449349760).

12011201201130 is an abundant number, since it is smaller than the sum of its proper divisors (19163697498390).

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

12011201201130 is a wasteful number, since it uses less digits than its factorization.

12011201201130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195624.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12011201201130 its reverse (3110210211021), we get a palindrome (15121411412151).

The spelling of 12011201201130 in words is "twelve trillion, eleven billion, two hundred one million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1406 2109 2957 3515 4218 5914 7030 8871 10545 14785 17742 21090 29570 44355 56183 88710 109409 112366 168549 192601 218818 280915 328227 337098 385202 547045 561830 577803 656454 842745 963005 1094090 1155606 1641135 1685490 1926010 2078771 2889015 3282270 3659419 4157542 5778030 6236313 7126237 7318838 10393855 10978257 12472626 14252474 18297095 20787710 21378711 21956514 31181565 35631185 36594190 42757422 54891285 62363130 71262370 106893555 109782570 135398503 213787110 270797006 406195509 569521157 676992515 812391018 1139042314 1353985030 1708563471 2030977545 2847605785 3417126942 4061955090 5695211570 8542817355 10820901983 17085634710 21072282809 21641803966 32462705949 42144565618 54104509915 63216848427 64925411898 105361414045 108209019830 126433696854 162313529745 210722828090 316084242135 324627059490 400373373371 632168484270 800746746742 1201120120113 2001866866855 2402240240226 4003733733710 6005600600565 12011201201130