Search a number
-
+
12205101521123 = 73791921512657
BaseRepresentation
bin1011000110011011100010…
…1111011001100011100011
31121012210111111202220122122
42301212320233121203203
53044432021442133443
641542540215254455
72366534536122650
oct261467057314343
947183444686578
1012205101521123
113986177693365
12145151b97a42b
136a6c228c45c4
14302a3142ac27
151627391a1968
hexb19b8bd98e3

12205101521123 has 16 divisors (see below), whose sum is σ = 14325862797504. Its totient is φ = 10178641336320.

The previous prime is 12205101521071. The next prime is 12205101521147. The reversal of 12205101521123 is 32112510150221.

It is a cyclic number.

It is not a de Polignac number, because 12205101521123 - 240 = 11105589893347 is a prime.

It is a super-2 number, since 2×122051015211232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12205101521092 and 12205101521101.

It is not an unprimeable number, because it can be changed into a prime (12205101571123) 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, 23551211 + ... + 24063867.

It is an arithmetic number, because the mean of its divisors is an integer number (895366424844).

Almost surely, 212205101521123 is an apocalyptic number.

12205101521123 is a deficient number, since it is larger than the sum of its proper divisors (2120761276381).

12205101521123 is an equidigital number, since it uses as much as digits as its factorization.

12205101521123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604622.

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 12205101521123 its reverse (32112510150221), we get a palindrome (44317611671344).

The spelling of 12205101521123 in words is "twelve trillion, two hundred five billion, one hundred one million, five hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 7 37 259 91921 512657 643447 3401077 3588599 18968309 23807539 132778163 47123944097 329867608679 1743585931589 12205101521123