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12030133043424 = 2531571966140597
BaseRepresentation
bin1010111100001111101111…
…0011101000000011100000
31120121001212122201022102210
42233003323303220003200
53034100203024342144
641330322233442120
72351101624446036
oct257037363500340
946531778638383
1012030133043424
113918a50529381
12142362b270340
1369358a4c77b2
142d839397a556
1515cde8579ab9
hexaf0fbce80e0

12030133043424 has 96 divisors (see below), whose sum is σ = 31782639270816. Its totient is φ = 3984201861120.

The previous prime is 12030133043407. The next prime is 12030133043429. The reversal of 12030133043424 is 42434033103021.

It is a happy number.

12030133043424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12030133043391 and 12030133043400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030133043429) 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, 296310294 + ... + 296350890.

It is an arithmetic number, because the mean of its divisors is an integer number (331069159071).

Almost surely, 212030133043424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12030133043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15891319635408).

12030133043424 is an abundant number, since it is smaller than the sum of its proper divisors (19752506227392).

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

12030133043424 is a wasteful number, since it uses less digits than its factorization.

12030133043424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60428 (or 60420 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 12030133043424 its reverse (42434033103021), we get a palindrome (54464166146445).

The spelling of 12030133043424 in words is "twelve trillion, thirty billion, one hundred thirty-three million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 7536 15072 19661 39322 40597 58983 78644 81194 117966 121791 157288 162388 235932 243582 314576 324776 471864 487164 629152 649552 943728 974328 1299104 1887456 1948656 3086777 3897312 6173554 6373729 9260331 12347108 12747458 18520662 19121187 24694216 25494916 37041324 38242374 49388432 50989832 74082648 76484748 98776864 101979664 148165296 152969496 203959328 296330592 305938992 611877984 798177617 1596355234 2394532851 3192710468 4789065702 6385420936 9578131404 12770841872 19156262808 25541683744 38312525616 76625051232 125313885869 250627771738 375941657607 501255543476 751883315214 1002511086952 1503766630428 2005022173904 3007533260856 4010044347808 6015066521712 12030133043424