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12133023032320 = 21058297285613
BaseRepresentation
bin1011000010001111000010…
…0001110010010000000000
31120221220110020101022011021
42300203300201302100000
53042241412344013240
641445500035155224
72361403423101121
oct260436041622000
946856406338137
1012133023032320
11395864a215953
12143b564a45b14
136a01a6981328
142dd354768048
1516091b37754a
hexb08f0872400

12133023032320 has 88 divisors (see below), whose sum is σ = 29108646706104. Its totient is φ = 4852607287296.

The previous prime is 12133023032311. The next prime is 12133023032363. The reversal of 12133023032320 is 2323032033121.

It can be written as a sum of positive squares in 4 ways, for example, as 1758233568256 + 10374789464064 = 1325984^2 + 3220992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42337834 + ... + 42623446.

Almost surely, 212133023032320 is an apocalyptic number.

12133023032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133023032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14554323353052).

12133023032320 is an abundant number, since it is smaller than the sum of its proper divisors (16975623673784).

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

12133023032320 is an equidigital number, since it uses as much as digits as its factorization.

12133023032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293935 (or 293917 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 12133023032320 its reverse (2323032033121), we get a palindrome (14456055065441).

The spelling of 12133023032320 in words is "twelve trillion, one hundred thirty-three billion, twenty-three million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 8297 16594 33188 41485 66376 82970 132752 165940 265504 285613 331880 531008 571226 663760 1062016 1142452 1327520 1428065 2124032 2284904 2655040 2856130 4248064 4569808 5310080 5712260 8496128 9139616 10620160 11424520 18279232 21240320 22849040 36558464 42480640 45698080 73116928 91396160 146233856 182792320 292467712 365584640 731169280 1462338560 2369731061 4739462122 9478924244 11848655305 18957848488 23697310610 37915696976 47394621220 75831393952 94789242440 151662787904 189578484880 303325575808 379156969760 606651151616 758313939520 1213302303232 1516627879040 2426604606464 3033255758080 6066511516160 12133023032320