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12420343152 = 2432767183907
BaseRepresentation
bin10111001000100111…
…10110010101110000
31012001121001210202100
423210103312111300
5200414101440102
65412243020400
7616534113660
oct134423662560
935047053670
1012420343152
1152a3a61708
1224a766a700
13122c279799
1485b79a1a0
154ca601a1c
hex2e44f6570

12420343152 has 120 divisors (see below), whose sum is σ = 40318518656. Its totient is φ = 3495685248.

The previous prime is 12420343129. The next prime is 12420343153. The reversal of 12420343152 is 25134302421.

12420343152 is a `hidden beast` number, since 1 + 24 + 203 + 431 + 5 + 2 = 666.

12420343152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420343153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24418 + ... + 159489.

Almost surely, 212420343152 is an apocalyptic number.

12420343152 is a gapful number since it is divisible by the number (12) 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 12420343152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20159259328).

12420343152 is an abundant number, since it is smaller than the sum of its proper divisors (27898175504).

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

12420343152 is a wasteful number, since it uses less digits than its factorization.

12420343152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183995 (or 183986 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12420343152 its reverse (25134302421), we get a palindrome (37554645573).

The spelling of 12420343152 in words is "twelve billion, four hundred twenty million, three hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 402 469 504 536 603 804 938 1008 1072 1206 1407 1608 1876 2412 2814 3216 3752 4221 4824 5628 7504 8442 9648 11256 16884 22512 33768 67536 183907 367814 551721 735628 1103442 1287349 1471256 1655163 2206884 2574698 2942512 3310326 3862047 4413768 5149396 6620652 7724094 8827536 10298792 11586141 12321769 13241304 15448188 20597584 23172282 24643538 26482608 30896376 36965307 46344564 49287076 61792752 73930614 86252383 92689128 98574152 110895921 147861228 172504766 185378256 197148304 221791842 258757149 295722456 345009532 443583684 517514298 591444912 690019064 776271447 887167368 1035028596 1380038128 1552542894 1774334736 2070057192 3105085788 4140114384 6210171576 12420343152