Search a number
-
+
12120121102201 = 72247349410249
BaseRepresentation
bin1011000001011110111110…
…0000110100111101111001
31120220200011002010100021121
42300113233200310331321
53042034002000232301
641435523510105241
72360435620356400
oct260275740647571
946820132110247
1012120121102201
113953129433892
121438b6404b221
1369bbcb9c8758
142dc88d04a637
151604138483a1
hexb05ef834f79

12120121102201 has 6 divisors (see below), whose sum is σ = 14098916384250. Its totient is φ = 10388675230416.

The previous prime is 12120121102147. The next prime is 12120121102241. The reversal of 12120121102201 is 10220112102121.

It can be written as a sum of positive squares in only one way, i.e., 8035518420601 + 4084602681600 = 2834699^2 + 2021040^2 .

It is not a de Polignac number, because 12120121102201 - 29 = 12120121101689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12120121102241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123674705076 + ... + 123674705173.

It is an arithmetic number, because the mean of its divisors is an integer number (2349819397375).

Almost surely, 212120121102201 is an apocalyptic number.

It is an amenable number.

12120121102201 is a deficient number, since it is larger than the sum of its proper divisors (1978795282049).

12120121102201 is an equidigital number, since it uses as much as digits as its factorization.

12120121102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247349410263 (or 247349410256 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12120121102201 its reverse (10220112102121), we get a palindrome (22340233204322).

The spelling of 12120121102201 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-one million, one hundred two thousand, two hundred one".

Divisors: 1 7 49 247349410249 1731445871743 12120121102201