Search a number
-
+
12120221110101 = 3132938532781307
BaseRepresentation
bin1011000001011111010101…
…1110010100111101010101
31120220200102001022021022220
42300113311132110331111
53042034203101010401
641435541441412553
72360441243413536
oct260276536247525
946820361267286
1012120221110101
11395317a930245
121438b9163a159
1369bc16642a20
142dc89c44068d
1516041c500336
hexb05f5794f55

12120221110101 has 32 divisors (see below), whose sum is σ = 18008190533760. Its totient is φ = 7199532958464.

The previous prime is 12120221110091. The next prime is 12120221110111. The reversal of 12120221110101 is 10101112202121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12120221110091) and next prime (12120221110111).

It is not a de Polignac number, because 12120221110101 - 210 = 12120221109077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120221110111) 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, 2967090 + ... + 5748396.

It is an arithmetic number, because the mean of its divisors is an integer number (562755954180).

Almost surely, 212120221110101 is an apocalyptic number.

It is an amenable number.

12120221110101 is a deficient number, since it is larger than the sum of its proper divisors (5887969423659).

12120221110101 is a wasteful number, since it uses less digits than its factorization.

12120221110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785205.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12120221110101 its reverse (10101112202121), we get a palindrome (22221333312222).

The spelling of 12120221110101 in words is "twelve trillion, one hundred twenty billion, two hundred twenty-one million, one hundred ten thousand, one hundred one".

Divisors: 1 3 13 29 39 87 377 1131 3853 11559 50089 111737 150267 335211 1452581 2781307 4357743 8343921 36156991 80657903 108470973 241973709 1048552739 3145658217 10716375871 32149127613 139312886323 310774900259 417938658969 932324700777 4040073703367 12120221110101