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12142455424121 = 1123977190125841
BaseRepresentation
bin1011000010110010001010…
…1111100000010001111001
31120222210210121002110012202
42300230202233200101321
53042420222042032441
641454100024115545
72362156236103511
oct260544257402171
946883717073182
1012142455424121
11396164a596480
121441357905bb5
136a104aba4759
142dd9ab376841
15160cbe4b519b
hexb0b22be0479

12142455424121 has 32 divisors (see below), whose sum is σ = 13844203589376. Its totient is φ = 10541893120000.

The previous prime is 12142455424109. The next prime is 12142455424123.

12142455424121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12142455424121 - 222 = 12142451229817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12142455424123) 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, 469878161 + ... + 469904001.

It is an arithmetic number, because the mean of its divisors is an integer number (432631362168).

Almost surely, 212142455424121 is an apocalyptic number.

12142455424121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12142455424121 is a deficient number, since it is larger than the sum of its proper divisors (1701748165255).

12142455424121 is a wasteful number, since it uses less digits than its factorization.

12142455424121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28753.

The product of its digits is 102400, while the sum is 38.

It can be divided in two parts, 1214245 and 5424121, that added together give a palindrome (6638366).

The spelling of 12142455424121 in words is "twelve trillion, one hundred forty-two billion, four hundred fifty-five million, four hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 11 23 253 977 1901 10747 20911 22471 25841 43723 247181 284251 480953 594343 1857277 6537773 20430047 25246657 42717371 49123741 277713227 469891081 540361151 580673111 1129846043 6387404221 12428306473 47993894957 527932844527 1103859584011 12142455424121