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12421134430425 = 3252714974371237
BaseRepresentation
bin1011010011000000010101…
…0011100011000011011001
31121222110010012210210000200
42310300011103203003121
53112001440403233200
642230105042252413
72421253201423530
oct264600523430331
947873105723020
1012421134430425
113a59856627626
121487370957109
136c140074cc56
1430d2869a9317
1516817ee6c800
hexb4c054e30d9

12421134430425 has 144 divisors (see below), whose sum is σ = 25631318419200. Its totient is φ = 5632453854720.

The previous prime is 12421134430387. The next prime is 12421134430427. The reversal of 12421134430425 is 52403443112421.

12421134430425 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 1 + 1 + 344 + 304 + 2 + 5 = 666.

It is not a de Polignac number, because 12421134430425 - 26 = 12421134430361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12421134430425.

It is not an unprimeable number, because it can be changed into a prime (12421134430427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 174327907 + ... + 174399143.

It is an arithmetic number, because the mean of its divisors is an integer number (177995266800).

Almost surely, 212421134430425 is an apocalyptic number.

12421134430425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12421134430425 is an abundant number, since it is smaller than the sum of its proper divisors (13210183988775).

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

12421134430425 is a wasteful number, since it uses less digits than its factorization.

12421134430425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72152 (or 72144 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 12421134430425 its reverse (52403443112421), we get a palindrome (64824577542846).

The spelling of 12421134430425 in words is "twelve trillion, four hundred twenty-one billion, one hundred thirty-four million, four hundred thirty thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 149 175 225 315 447 525 743 745 1043 1341 1575 2229 2235 3129 3715 3725 5201 5215 6687 6705 9387 11145 11175 15603 15645 18575 26005 26075 33435 33525 46809 46935 55725 71237 78015 78225 110707 130025 167175 213711 234045 234675 332121 356185 390075 498659 553535 641133 774949 996363 1068555 1170225 1495977 1660605 1780925 2324847 2493295 2767675 3205665 3874745 4487931 4981815 5342775 6974541 7479885 8303025 10614313 11624235 12466475 16028325 19373725 22439655 24909075 31842939 34872705 37399425 52929091 53071565 58121175 74300191 95528817 112198275 158787273 159214695 174363525 222900573 264645455 265357825 370503637 371500955 476361819 477644085 668701719 793936365 796073475 1111510911 1114502865 1323227275 1852518185 1857504775 2381809095 2388220425 3334532733 3343508595 3969681825 5557554555 5572514325 7886434559 9262590925 11909045475 16672663665 16717542975 23659303677 27787772775 39432172795 55205041913 70977911031 83363318325 118296518385 165615125739 197160863975 276025209565 354889555155 496845377217 591482591925 828075628695 1380126047825 1774447775775 2484226886085 4140378143475 12421134430425