Search a number
-
+
12142111124121 = 31110127997130121
BaseRepresentation
bin1011000010110000111000…
…1110000110101010011001
31120222202220121020012101220
42300230032032012222121
53042414020421432441
641454001524402253
72362144555436436
oct260541616065231
946882817205356
1012142111124121
113961493204820
121441280546389
136a0cc4765b44
142dd977750b8d
15160c9e155466
hexb0b0e386a99

12142111124121 has 32 divisors (see below), whose sum is σ = 17836890581376. Its totient is φ = 7285679040000.

The previous prime is 12142111124119. The next prime is 12142111124141.

12142111124121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12142111124121 - 21 = 12142111124119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12142111124091 and 12142111124100.

It is not an unprimeable number, because it can be changed into a prime (12142111124141) 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, 93248941 + ... + 93379061.

It is an arithmetic number, because the mean of its divisors is an integer number (557402830668).

Almost surely, 212142111124121 is an apocalyptic number.

12142111124121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12142111124121 is a deficient number, since it is larger than the sum of its proper divisors (5694779457255).

12142111124121 is a wasteful number, since it uses less digits than its factorization.

12142111124121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158233.

The product of its digits is 256, while the sum is 24.

It can be divided in two parts, 1214211 and 1124121, that added together give a palindrome (2338332).

The spelling of 12142111124121 in words is "twelve trillion, one hundred forty-two billion, one hundred eleven million, one hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 3 11 33 101 303 1111 3333 27997 83991 130121 307967 390363 923901 1431331 2827697 4293993 8483091 13142221 31104667 39426663 93314001 144564431 433693293 3642997637 10928992911 40072974007 120218922021 367942761337 1103828284011 4047370374707 12142111124121