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12130130112 = 263416125261
BaseRepresentation
bin10110100110000001…
…10001100011000000
31011022100222110022020
423103000301203000
5144320303130422
65323354441440
7606411255552
oct132300614300
934270873266
1012130130112
115165162321
122426433280
1311b40c75a9
148310134d2
154aedc795c
hex2d30318c0

12130130112 has 112 divisors (see below), whose sum is σ = 33417381984. Its totient is φ = 3879936000.

The previous prime is 12130130099. The next prime is 12130130123. The reversal of 12130130112 is 21103103121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12130130091 and 12130130100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467562 + ... + 492822.

It is an arithmetic number, because the mean of its divisors is an integer number (298369482).

Almost surely, 212130130112 is an apocalyptic number.

12130130112 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 12130130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16708690992).

12130130112 is an abundant number, since it is smaller than the sum of its proper divisors (21287251872).

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

12130130112 is a wasteful number, since it uses less digits than its factorization.

12130130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25378 (or 25368 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12130130112 its reverse (21103103121), we get a palindrome (33233233233).

The spelling of 12130130112 in words is "twelve billion, one hundred thirty million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 61 64 82 96 122 123 164 183 192 244 246 328 366 488 492 656 732 976 984 1312 1464 1952 1968 2501 2624 2928 3904 3936 5002 5856 7503 7872 10004 11712 15006 20008 25261 30012 40016 50522 60024 75783 80032 101044 120048 151566 160064 202088 240096 303132 404176 480192 606264 808352 1035701 1212528 1540921 1616704 2071402 2425056 3081842 3107103 4142804 4622763 4850112 6163684 6214206 8285608 9245526 12327368 12428412 16571216 18491052 24654736 24856824 33142432 36982104 49309472 49713648 63177761 66284864 73964208 98618944 99427296 126355522 147928416 189533283 198854592 252711044 295856832 379066566 505422088 758133132 1010844176 1516266264 2021688352 3032532528 4043376704 6065065056 12130130112