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12081412752 = 2433153307499
BaseRepresentation
bin10110100000001101…
…11011101010010000
31011011222022100122120
423100012323222100
5144220320202002
65314454334240
7605250212463
oct132006735220
934158270576
1012081412752
11513a708242
12241205a380
1311a6c9ac56
148287712da
154aa9a2cbc
hex2d01bba90

12081412752 has 160 divisors (see below), whose sum is σ = 32997888000. Its totient is φ = 3803604480.

The previous prime is 12081412727. The next prime is 12081412757. The reversal of 12081412752 is 25721418021.

It is not an unprimeable number, because it can be changed into a prime (12081412757) 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, 24210999 + ... + 24211497.

It is an arithmetic number, because the mean of its divisors is an integer number (206236800).

Almost surely, 212081412752 is an apocalyptic number.

12081412752 is a gapful number since it is divisible by the number (12) 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 12081412752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944000).

12081412752 is an abundant number, since it is smaller than the sum of its proper divisors (20916475248).

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

12081412752 is a wasteful number, since it uses less digits than its factorization.

12081412752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 12081412752 in words is "twelve billion, eighty-one million, four hundred twelve thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 53 62 93 106 124 159 186 212 248 307 318 372 424 496 499 614 636 744 848 921 998 1228 1272 1488 1497 1643 1842 1996 2456 2544 2994 3286 3684 3992 4912 4929 5988 6572 7368 7984 9517 9858 11976 13144 14736 15469 16271 19034 19716 23952 26288 26447 28551 30938 32542 38068 39432 46407 48813 52894 57102 61876 65084 76136 78864 79341 92814 97626 105788 114204 123752 130168 152272 153193 158682 185628 195252 211576 228408 247504 260336 306386 317364 371256 390504 423152 456816 459579 504401 612772 634728 742512 781008 819857 919158 1008802 1225544 1269456 1513203 1639714 1838316 2017604 2451088 2459571 3026406 3279428 3676632 4035208 4748983 4919142 6052812 6558856 7353264 8070416 8119229 9497966 9838284 12105624 13117712 14246949 16238458 18995932 19676568 24211248 24357687 28493898 32476916 37991864 39353136 48715374 56987796 64953832 75983728 97430748 113975592 129907664 194861496 227951184 251696099 389722992 503392198 755088297 1006784396 1510176594 2013568792 3020353188 4027137584 6040706376 12081412752