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12420341430 = 2357457129419
BaseRepresentation
bin10111001000100111…
…10101111010110110
31012001121001201101120
423210103311322312
5200414101411210
65412243004410
7616534105650
oct134423657266
935047051346
1012420341430
1152a3a60392
1224a7669706
13122c278a73
1485b7996d0
154ca601270
hex2e44f5eb6

12420341430 has 64 divisors (see below), whose sum is σ = 34142031360. Its totient is φ = 2832701184.

The previous prime is 12420341419. The next prime is 12420341431. The reversal of 12420341430 is 3414302421.

It is a self number, because there is not a number n which added to its sum of digits gives 12420341430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420341431) 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, 31261 + ... + 160679.

It is an arithmetic number, because the mean of its divisors is an integer number (533469240).

Almost surely, 212420341430 is an apocalyptic number.

12420341430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420341430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17071015680).

12420341430 is an abundant number, since it is smaller than the sum of its proper divisors (21721689930).

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

12420341430 is a wasteful number, since it uses less digits than its factorization.

12420341430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129893.

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

Adding to 12420341430 its reverse (3414302421), we get a palindrome (15834643851).

The spelling of 12420341430 in words is "twelve billion, four hundred twenty million, three hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 457 914 1371 2285 2742 3199 4570 6398 6855 9597 13710 15995 19194 31990 47985 95970 129419 258838 388257 647095 776514 905933 1294190 1811866 1941285 2717799 3882570 4529665 5435598 9059330 13588995 27177990 59144483 118288966 177433449 295722415 354866898 414011381 591444830 828022762 887167245 1242034143 1774334490 2070056905 2484068286 4140113810 6210170715 12420341430