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122312010132 = 22321323103110321
BaseRepresentation
bin111000111101001011…
…1010010100110010100
3102200201010121220011100
41301322113102212110
54000443333311012
6132104522510100
711560001634504
oct1617227224624
9380633556140
10122312010132
1147965a395a4
121b856065330
13b6c31a5cc0
145cc441da04
1532ace4a8dc
hex1c7a5d2994

122312010132 has 144 divisors (see below), whose sum is σ = 350813369088. Its totient is φ = 35648363520.

The previous prime is 122312010061. The next prime is 122312010133. The reversal of 122312010132 is 231010213221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312010133) 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 47 ways as a sum of consecutive naturals, for example, 1053532 + ... + 1163852.

It is an arithmetic number, because the mean of its divisors is an integer number (2436203952).

Almost surely, 2122312010132 is an apocalyptic number.

122312010132 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 122312010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175406684544).

122312010132 is an abundant number, since it is smaller than the sum of its proper divisors (228501358956).

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

122312010132 is a wasteful number, since it uses less digits than its factorization.

122312010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110470 (or 110465 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122312010132 its reverse (231010213221), we get a palindrome (353322223353).

The spelling of 122312010132 in words is "one hundred twenty-two billion, three hundred twelve million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 103 117 138 156 206 207 234 276 299 309 412 414 468 598 618 828 897 927 1196 1236 1339 1794 1854 2369 2678 2691 3588 3708 4017 4738 5356 5382 7107 8034 9476 10764 12051 14214 16068 21321 24102 28428 30797 42642 48204 61594 85284 92391 110321 123188 184782 220642 277173 330963 369564 441284 554346 661926 992889 1108692 1323852 1434173 1985778 2537383 2868346 3971556 4302519 5074766 5736692 7612149 8605038 10149532 11363063 12907557 15224298 17210076 22726126 22836447 25815114 30448596 32985979 34089189 45452252 45672894 51630228 65971958 68178378 91345788 98957937 102267567 131943916 136356756 147719819 197915874 204535134 261350449 295439638 296873811 395831748 409070268 443159457 522700898 590879276 593747622 784051347 886318914 1045401796 1187495244 1329478371 1568102694 1772637828 2352154041 2658956742 3136205388 3397555837 4704308082 5317913484 6795111674 9408616164 10192667511 13590223348 20385335022 30578002533 40770670044 61156005066 122312010132