Search a number
-
+
12123477432121 = 11471011072169859
BaseRepresentation
bin1011000001101011011110…
…0100001101011100111001
31120220222210222122120101011
42300122313210031130321
53042112340210311441
641441240523553521
72360615033611666
oct260326744153471
946828728576334
1012123477432121
1139545a0a52170
12143974008b8a1
1369c3151713a3
142dcacaacaa6d
1516055d326581
hexb06b790d739

12123477432121 has 32 divisors (see below), whose sum is σ = 13768230389760. Its totient is φ = 10580227608000.

The previous prime is 12123477432107. The next prime is 12123477432127.

12123477432121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12123477432121 - 215 = 12123477399353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12123477432127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4502290 + ... + 6672148.

It is an arithmetic number, because the mean of its divisors is an integer number (430257199680).

Almost surely, 212123477432121 is an apocalyptic number.

12123477432121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12123477432121 is a deficient number, since it is larger than the sum of its proper divisors (1644752957639).

12123477432121 is a wasteful number, since it uses less digits than its factorization.

12123477432121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170125.

The product of its digits is 112896, while the sum is 40.

It can be divided in two parts, 1212347 and 7432121, that added together give a palindrome (8644468).

The spelling of 12123477432121 in words is "twelve trillion, one hundred twenty-three billion, four hundred seventy-seven million, four hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 47 101 107 517 1111 1177 4747 5029 10807 52217 55319 118877 507929 2169859 5587219 23868449 101983373 219155759 232174913 1121817103 2410713349 2553924043 10300320673 10912220911 23449666213 113303527403 120034430021 257946328343 1102134312011 12123477432121