Search a number
-
+
12123332001131 = 135918678466079
BaseRepresentation
bin1011000001101010111011…
…1001011011110101101011
31120220222102211222220120012
42300122232321123311223
53042112040443014011
641441214250522135
72360611316511641
oct260325671336553
946828384886505
1012123332001131
11395452695076a
1214396bb43634b
1369c2c0cb2050
142dcab5671191
1516055069aa8b
hexb06aee5bd6b

12123332001131 has 16 divisors (see below), whose sum is σ = 13284295449600. Its totient is φ = 10995200277408.

The previous prime is 12123332001113. The next prime is 12123332001169. The reversal of 12123332001131 is 13110023332121.

It is a cyclic number.

It is not a de Polignac number, because 12123332001131 - 214 = 12123331984747 is a prime.

It is a super-2 number, since 2×121233320011312 (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 = 12123332001097 and 12123332001106.

It is not an unprimeable number, because it can be changed into a prime (12123332007131) 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, 2801051 + ... + 5665028.

It is an arithmetic number, because the mean of its divisors is an integer number (830268465600).

Almost surely, 212123332001131 is an apocalyptic number.

12123332001131 is a deficient number, since it is larger than the sum of its proper divisors (1160963448469).

12123332001131 is a wasteful number, since it uses less digits than its factorization.

12123332001131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8468018.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12123332001131 its reverse (13110023332121), we get a palindrome (25233355333252).

The spelling of 12123332001131 in words is "twelve trillion, one hundred twenty-three billion, three hundred thirty-two million, one thousand, one hundred thirty-one".

Divisors: 1 13 59 767 1867 24271 110153 1431989 8466079 110059027 499498661 6493482593 15806169493 205480203409 932564000087 12123332001131