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12131112120320 = 21251931175761
BaseRepresentation
bin1011000010000111111010…
…1000001111000000000000
31120221201112001122220200202
42300201332220033000000
53042224004200322240
641444542253504332
72361305160443114
oct260417650170000
946851461586622
1012131112120320
113957859597436
12143b110aa20a8
1369cc60ac9a7b
142dd212a5d744
15160858711315
hexb087ea0f000

12131112120320 has 104 divisors (see below), whose sum is σ = 30643279985040. Its totient is φ = 4597052866560.

The previous prime is 12131112120311. The next prime is 12131112120331. The reversal of 12131112120320 is 2302121113121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12131112120292 and 12131112120301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15198761 + ... + 15977000.

Almost surely, 212131112120320 is an apocalyptic number.

12131112120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131112120320 is an abundant number, since it is smaller than the sum of its proper divisors (18512167864720).

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

12131112120320 is an equidigital number, since it uses as much as digits as its factorization.

12131112120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31175809 (or 31175787 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12131112120320 its reverse (2302121113121), we get a palindrome (14433233233441).

The spelling of 12131112120320 in words is "twelve trillion, one hundred thirty-one billion, one hundred twelve million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1024 1216 1280 1520 2048 2432 2560 3040 4096 4864 5120 6080 9728 10240 12160 19456 20480 24320 38912 48640 77824 97280 194560 389120 31175761 62351522 124703044 155878805 249406088 311757610 498812176 592339459 623515220 997624352 1184678918 1247030440 1995248704 2369357836 2494060880 2961697295 3990497408 4738715672 4988121760 5923394590 7980994816 9477431344 9976243520 11846789180 15961989632 18954862688 19952487040 23693578360 31923979264 37909725376 39904974080 47387156720 63847958528 75819450752 79809948160 94774313440 127695917056 151638901504 159619896320 189548626880 303277803008 319239792640 379097253760 606555606016 638479585280 758194507520 1213111212032 1516389015040 2426222424064 3032778030080 6065556060160 12131112120320