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12078412470 = 23351271632161
BaseRepresentation
bin10110011111110110…
…11111001010110110
31011011202122221001000
423033323133022312
5144214033144340
65314310144130
7605212545345
oct131773371266
934152587030
1012078412470
115138a49073
122411052046
1311a648a437
148281cdb5c
154aa5add30
hex2cfedf2b6

12078412470 has 128 divisors (see below), whose sum is σ = 32676986880. Its totient is φ = 3174474240.

The previous prime is 12078412469. The next prime is 12078412531. The reversal of 12078412470 is 7421487021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5588190 + ... + 5590350.

It is an arithmetic number, because the mean of its divisors is an integer number (255288960).

Almost surely, 212078412470 is an apocalyptic number.

12078412470 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 12078412470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338493440).

12078412470 is an abundant number, since it is smaller than the sum of its proper divisors (20598574410).

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

12078412470 is a wasteful number, since it uses less digits than its factorization.

12078412470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

Adding to 12078412470 its reverse (7421487021), we get a palindrome (19499899491).

The spelling of 12078412470 in words is "twelve billion, seventy-eight million, four hundred twelve thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 127 135 163 254 270 326 381 489 635 762 815 978 1143 1270 1467 1630 1905 2161 2286 2445 2934 3429 3810 4322 4401 4890 5715 6483 6858 7335 8802 10805 11430 12966 14670 17145 19449 20701 21610 22005 32415 34290 38898 41402 44010 58347 62103 64830 97245 103505 116694 124206 186309 194490 207010 274447 291735 310515 352243 372618 548894 558927 583470 621030 704486 823341 931545 1056729 1117854 1372235 1646682 1761215 1863090 2113458 2470023 2744470 2794635 3170187 3522430 4116705 4940046 5283645 5589270 6340374 7410069 8233410 9510561 10567290 12350115 14820138 15850935 19021122 24700230 31701870 37050345 44734861 47552805 74100690 89469722 95105610 134204583 223674305 268409166 402613749 447348610 671022915 805227498 1207841247 1342045830 2013068745 2415682494 4026137490 6039206235 12078412470