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12121113232332 = 22331367128854799
BaseRepresentation
bin1011000001100010101010…
…1001100000001111001100
31120220202201012222202222000
42300120222221200033030
53042043014441413312
641440210150552300
72360502325342146
oct260305251401714
946822635882860
1012121113232332
113953598471945
1214391a0368690
1369c02940b7c0
142dc944b09c96
151604709c2adc
hexb062aa603cc

12121113232332 has 96 divisors (see below), whose sum is σ = 34347535488000. Its totient is φ = 3673908000576.

The previous prime is 12121113232273. The next prime is 12121113232337. The reversal of 12121113232332 is 23323231112121.

12121113232332 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 1 + 1 + 1 + 323 + 2 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12121113232296 and 12121113232305.

It is not an unprimeable number, because it can be changed into a prime (12121113232337) 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, 64333332 + ... + 64521467.

It is an arithmetic number, because the mean of its divisors is an integer number (357786828000).

Almost surely, 212121113232332 is an apocalyptic number.

12121113232332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12121113232332 is an abundant number, since it is smaller than the sum of its proper divisors (22226422255668).

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

12121113232332 is a wasteful number, since it uses less digits than its factorization.

12121113232332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128854892 (or 128854884 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 12121113232332 its reverse (23323231112121), we get a palindrome (35444344344453).

The spelling of 12121113232332 in words is "twelve trillion, one hundred twenty-one billion, one hundred thirteen million, two hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 156 201 234 268 351 402 468 603 702 804 871 1206 1404 1742 1809 2412 2613 3484 3618 5226 7236 7839 10452 15678 23517 31356 47034 94068 128854799 257709598 386564397 515419196 773128794 1159693191 1546257588 1675112387 2319386382 3350224774 3479079573 4638772764 5025337161 6700449548 6958159146 8633271533 10050674322 13916318292 15076011483 17266543066 20101348644 25899814599 30152022966 34533086132 45228034449 51799629198 60304045932 77699443797 90456068898 103599258396 112232529929 155398887594 180912137796 224465059858 233098331391 310797775188 336697589787 448930119716 466196662782 673395179574 932393325564 1010092769361 1346790359148 2020185538722 3030278308083 4040371077444 6060556616166 12121113232332