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12402430001232 = 2436071372331019
BaseRepresentation
bin1011010001111010101001…
…1011110100000001010000
31121220122211200010022210220
42310132222123310001100
53111200134040014412
642213333033353040
72420021530412145
oct264365233640120
947818750108726
1012402430001232
113a51928450087
121483810868780
136bc70c5bc27b
1430c3d07b03cc
15167937d1968c
hexb47aa6f4050

12402430001232 has 80 divisors (see below), whose sum is σ = 32095767644160. Its totient is φ = 4126898745216.

The previous prime is 12402430001183. The next prime is 12402430001239. The reversal of 12402430001232 is 23210003420421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12402430001239) 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, 399817819 + ... + 399848837.

It is an arithmetic number, because the mean of its divisors is an integer number (401197095552).

Almost surely, 212402430001232 is an apocalyptic number.

12402430001232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12402430001232 is an abundant number, since it is smaller than the sum of its proper divisors (19693337642928).

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

12402430001232 is a wasteful number, since it uses less digits than its factorization.

12402430001232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45360 (or 45354 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12402430001232 its reverse (23210003420421), we get a palindrome (35612433421653).

The spelling of 12402430001232 in words is "twelve trillion, four hundred two billion, four hundred thirty million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 607 1214 1821 2428 3642 4856 7284 9712 13723 14568 27446 29136 31019 41169 54892 62038 82338 93057 109784 124076 164676 186114 219568 248152 329352 372228 496304 658704 744456 1488912 8329861 16659722 18828533 24989583 33319444 37657066 49979166 56485599 66638888 75314132 99958332 112971198 133277776 150628264 199916664 225942396 301256528 399833328 425673737 451884792 851347474 903769584 1277021211 1702694948 2554042422 3405389896 5108084844 6810779792 10216169688 20432339376 258383958359 516767916718 775151875077 1033535833436 1550303750154 2067071666872 3100607500308 4134143333744 6201215000616 12402430001232