Search a number
-
+
12200201100120 = 2335119242576591
BaseRepresentation
bin1011000110001001010010…
…1001110001101101011000
31121012022211222202201210110
42301202110221301231120
53044342002440200440
641540410042244320
72366302233205155
oct261422451615530
947168758681713
1012200201100120
11398409250a550
1214505927b66a0
136a662158c9c7
143026c868b22c
1516254dd6a080
hexb1894a71b58

12200201100120 has 64 divisors (see below), whose sum is σ = 39927930877440. Its totient is φ = 2957624508800.

The previous prime is 12200201100119. The next prime is 12200201100127. The reversal of 12200201100120 is 2100110200221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12200201100096 and 12200201100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200201100127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4621286976 + ... + 4621289615.

It is an arithmetic number, because the mean of its divisors is an integer number (623873919960).

Almost surely, 212200201100120 is an apocalyptic number.

12200201100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200201100120 is an abundant number, since it is smaller than the sum of its proper divisors (27727729777320).

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

12200201100120 is a wasteful number, since it uses less digits than its factorization.

12200201100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9242576616 (or 9242576612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12200201100120 its reverse (2100110200221), we get a palindrome (14300311300341).

It can be divided in two parts, 12200201 and 100120, that added together give a palindrome (12300321).

The spelling of 12200201100120 in words is "twelve trillion, two hundred billion, two hundred one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9242576591 18485153182 27727729773 36970306364 46212882955 55455459546 73940612728 92425765910 101668342501 110910919092 138638648865 184851531820 203336685002 221821838184 277277297730 305005027503 369703063640 406673370004 508341712505 554554595460 610010055006 813346740008 1016683425010 1109109190920 1220020110012 1525025137515 2033366850020 2440040220024 3050050275030 4066733700040 6100100550060 12200201100120