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120122212103232 = 26315122397184993
BaseRepresentation
bin11011010100000000100001…
…110010000011010001000000
3120202022120102111102010121020
4123110000201302003101000
5111221040242244300412
61103251214334225440
734205354253005133
oct3324004162032100
9522276374363536
10120122212103232
11353025a9175219
12115805a5955280
1352046259c2661
142193d360c421a
15dd49c391918c
hex6d4021c83440

120122212103232 has 112 divisors (see below), whose sum is σ = 319944157176192. Its totient is φ = 39773575987200.

The previous prime is 120122212103227. The next prime is 120122212103233. The reversal of 120122212103232 is 232301212221021.

120122212103232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (120122212103233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649241328 + ... + 649426320.

Almost surely, 2120122212103232 is an apocalyptic number.

120122212103232 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 120122212103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159972078588096).

120122212103232 is an abundant number, since it is smaller than the sum of its proper divisors (199821945072960).

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

120122212103232 is a wasteful number, since it uses less digits than its factorization.

120122212103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207556 (or 207546 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 120122212103232 its reverse (232301212221021), we get a palindrome (352423424324253).

The spelling of 120122212103232 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred twelve million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 604 906 1208 1812 2416 3624 4832 7248 9664 14496 22397 28992 44794 67191 89588 134382 179176 184993 268764 358352 369986 537528 554979 716704 739972 1075056 1109958 1433408 1479944 2150112 2219916 2959888 3381947 4300224 4439832 5919776 6763894 8879664 10145841 11839552 13527788 17759328 20291682 27055576 27933943 35518656 40583364 54111152 55867886 81166728 83801829 108222304 111735772 162333456 167603658 216444608 223471544 324666912 335207316 446943088 649333824 670414632 893886176 1340829264 1787772352 2681658528 4143288221 5363317056 8286576442 12429864663 16573152884 24859729326 33146305768 49719458652 66292611536 99438917304 132585223072 198877834608 265170446144 397755669216 625636521371 795511338432 1251273042742 1876909564113 2502546085484 3753819128226 5005092170968 7507638256452 10010184341936 15015276512904 20020368683872 30030553025808 40040737367744 60061106051616 120122212103232