Search a number
-
+
12200101121201 = 731953102157781
BaseRepresentation
bin1011000110001000111010…
…1100011000110010110001
31121012022121000122021111112
42301202032230120302301
53044341301341334301
641540352111323105
72366266610331350
oct261421654306261
947168530567445
1012200101121201
113984041032944
121450565220495
136a6606955996
143026b92a3997
151625451bb9bb
hexb188eb18cb1

12200101121201 has 32 divisors (see below), whose sum is σ = 14422209693696. Its totient is φ = 10099204416000.

The previous prime is 12200101121191. The next prime is 12200101121207. The reversal of 12200101121201 is 10212110100221.

It is not a de Polignac number, because 12200101121201 - 226 = 12200034012337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12200101121207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211114931 + ... + 211172711.

It is an arithmetic number, because the mean of its divisors is an integer number (450694052928).

Almost surely, 212200101121201 is an apocalyptic number.

It is an amenable number.

12200101121201 is a deficient number, since it is larger than the sum of its proper divisors (2222108572495).

12200101121201 is a wasteful number, since it uses less digits than its factorization.

12200101121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59793.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12200101121201 its reverse (10212110100221), we get a palindrome (22412211221422).

The spelling of 12200101121201 in words is "twelve trillion, two hundred billion, one hundred one million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 7 31 217 953 1021 6671 7147 29543 31651 57781 206801 221557 404467 973013 1791211 6811091 12538477 30163403 55065293 58994401 211143821 385457051 412960807 1707024083 1828826431 11949168581 12801785017 56221664153 393551649071 1742871588743 12200101121201