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12220030320 = 2435412415153
BaseRepresentation
bin10110110000101111…
…01101110101110000
31011112122010212012120
423120113231311300
5200011311432240
65340325354240
7611552354361
oct133027556560
934478125176
1012220030320
115200985713
122450568980
1311c9912c94
1483cd35b68
154b7c34ad0
hex2d85edd70

12220030320 has 160 divisors (see below), whose sum is σ = 38974630464. Its totient is φ = 3165388800.

The previous prime is 12220030283. The next prime is 12220030327. The reversal of 12220030320 is 2303002221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12220030320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220030327) 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 31 ways as a sum of consecutive naturals, for example, 2368864 + ... + 2374016.

Almost surely, 212220030320 is an apocalyptic number.

12220030320 is a gapful number since it is divisible by the number (10) 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 12220030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19487315232).

12220030320 is an abundant number, since it is smaller than the sum of its proper divisors (26754600144).

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

12220030320 is a wasteful number, since it uses less digits than its factorization.

12220030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5451 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12220030320 its reverse (2303002221), we get a palindrome (14523032541).

The spelling of 12220030320 in words is "twelve billion, two hundred twenty million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 241 246 328 410 482 492 615 656 723 820 964 984 1205 1230 1446 1640 1928 1968 2410 2460 2892 3280 3615 3856 4820 4920 5153 5784 7230 9640 9840 9881 10306 11568 14460 15459 19280 19762 20612 25765 28920 29643 30918 39524 41224 49405 51530 57840 59286 61836 77295 79048 82448 98810 103060 118572 123672 148215 154590 158096 197620 206120 211273 237144 247344 296430 309180 395240 412240 422546 474288 592860 618360 633819 790480 845092 1056365 1185720 1236720 1241873 1267638 1690184 2112730 2371440 2483746 2535276 3169095 3380368 3725619 4225460 4967492 5070552 6209365 6338190 7451238 8450920 9934984 10141104 12418730 12676380 14902476 16901840 18628095 19869968 24837460 25352760 29804952 37256190 49674920 50705520 50916793 59609904 74512380 99349840 101833586 149024760 152750379 203667172 254583965 298049520 305500758 407334344 509167930 611001516 763751895 814668688 1018335860 1222003032 1527503790 2036671720 2444006064 3055007580 4073343440 6110015160 12220030320