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12130404334128 = 2432193493435359
BaseRepresentation
bin1011000010000101010001…
…1100001111101000110000
31120221122200201211122120100
42300201110130033220300
53042221032002143003
641444344131312400
72361251504402403
oct260412434175060
946848621748510
1012130404334128
11395752600a173
12143ab53a4b700
1369cb7a292682
142dd186a59d3a
15160816501ba3
hexb085470fa30

12130404334128 has 60 divisors (see below), whose sum is σ = 33948537779520. Its totient is φ = 4043437926528.

The previous prime is 12130404334031. The next prime is 12130404334133. The reversal of 12130404334128 is 82143340403121.

12130404334128 is a `hidden beast` number, since 1 + 2 + 1 + 304 + 0 + 4 + 3 + 341 + 2 + 8 = 666.

It is a Cunningham number, because it is equal to 34828732-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12130404334092 and 12130404334101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27645313 + ... + 28080671.

It is an arithmetic number, because the mean of its divisors is an integer number (565808962992).

Almost surely, 212130404334128 is an apocalyptic number.

12130404334128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12130404334128 is an abundant number, since it is smaller than the sum of its proper divisors (21818133445392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12130404334128 is a wasteful number, since it uses less digits than its factorization.

12130404334128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628866 (or 628857 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 12130404334128 its reverse (82143340403121), we get a palindrome (94273744737249).

The spelling of 12130404334128 in words is "twelve trillion, one hundred thirty billion, four hundred four million, three hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193493 386986 435359 580479 773972 870718 1160958 1306077 1547944 1741436 1741437 2321916 2612154 3095888 3482872 3482874 3918231 4643832 5224308 6965744 6965748 7836462 9287664 10448616 13931496 15672924 20897232 27862992 31345848 62691696 84238918987 168477837974 252716756961 336955675948 505433513922 673911351896 758150270883 1010867027844 1347822703792 1516300541766 2021734055688 3032601083532 4043468111376 6065202167064 12130404334128