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12334301420 = 22574117312421
BaseRepresentation
bin10110111110010111…
…01000000011101100
31011211121011102200112
423133023220003230
5200230040121140
65355530515152
7614440555310
oct133713500354
934747142615
1012334301420
11525a434241
122482895ab8
1312174b240c
1485019db40
154c2ca7c65
hex2df2e80ec

12334301420 has 96 divisors (see below), whose sum is σ = 30502071936. Its totient is φ = 4101580800.

The previous prime is 12334301387. The next prime is 12334301423. The reversal of 12334301420 is 2410343321.

It is not an unprimeable number, because it can be changed into a prime (12334301423) 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, 986810 + ... + 999230.

It is an arithmetic number, because the mean of its divisors is an integer number (317729916).

Almost surely, 212334301420 is an apocalyptic number.

12334301420 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 12334301420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251035968).

12334301420 is an abundant number, since it is smaller than the sum of its proper divisors (18167770516).

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

12334301420 is a wasteful number, since it uses less digits than its factorization.

12334301420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12651 (or 12649 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12334301420 its reverse (2410343321), we get a palindrome (14744644741).

The spelling of 12334301420 in words is "twelve billion, three hundred thirty-four million, three hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 173 205 287 346 410 574 692 820 865 1148 1211 1435 1730 2422 2870 3460 4844 5740 6055 7093 12110 12421 14186 24220 24842 28372 35465 49651 49684 62105 70930 86947 99302 124210 141860 173894 198604 248255 248420 347788 434735 496510 509261 869470 993020 1018522 1738940 2037044 2148833 2546305 3564827 4297666 5092610 7129654 8595332 10185220 10744165 14259308 15041831 17824135 21488330 30083662 35648270 42976660 60167324 71296540 75209155 88102153 150418310 176204306 300836620 352408612 440510765 616715071 881021530 1233430142 1762043060 2466860284 3083575355 6167150710 12334301420