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12420321210 = 23251117243411
BaseRepresentation
bin10111001000100111…
…10000111110111010
31012001121000200122200
423210103300332322
5200414100234320
65412242331030
7616533663003
oct134423607672
935047020580
1012420321210
1152a3a47180
1224a7659a76
13122c26c7bb
1485b7921aa
154ca5ea290
hex2e44f0fba

12420321210 has 144 divisors (see below), whose sum is σ = 37423575072. Its totient is φ = 2833804800.

The previous prime is 12420321187. The next prime is 12420321217. The reversal of 12420321210 is 1212302421.

It is a happy number.

12420321210 is a `hidden beast` number, since 1 + 2 + 420 + 32 + 1 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12420321217) 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 71 ways as a sum of consecutive naturals, for example, 264405 + ... + 307815.

It is an arithmetic number, because the mean of its divisors is an integer number (259885938).

Almost surely, 212420321210 is an apocalyptic number.

12420321210 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 12420321210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18711787536).

12420321210 is an abundant number, since it is smaller than the sum of its proper divisors (25003253862).

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

12420321210 is a wasteful number, since it uses less digits than its factorization.

12420321210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43469 (or 43449 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12420321210 its reverse (1212302421), we get a palindrome (13632623631).

The spelling of 12420321210 in words is "twelve billion, four hundred twenty million, three hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 289 306 330 374 495 510 561 578 765 867 935 990 1122 1445 1530 1683 1734 1870 2601 2805 2890 3179 3366 4335 5202 5610 6358 8415 8670 9537 13005 15895 16830 19074 26010 28611 31790 43411 47685 57222 86822 95370 130233 143055 217055 260466 286110 390699 434110 477521 651165 737987 781398 955042 1302330 1432563 1475974 1953495 2213961 2387605 2865126 3689935 3906990 4297689 4427922 4775210 6641883 7162815 7379870 8117857 8595378 11069805 12545779 13283766 14325630 16235714 21488445 22139610 24353571 25091558 33209415 37637337 40589285 42976890 48707142 62728895 66418830 73060713 75274674 81178570 112912011 121767855 125457790 138003569 146121426 188186685 225824022 243535710 276007138 365303565 376373370 414010707 564560055 690017845 730607130 828021414 1129120110 1242032121 1380035690 2070053535 2484064242 4140107070 6210160605 12420321210