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12112765440 = 29351577183
BaseRepresentation
bin10110100011111101…
…00010001000000000
31011021011022020110020
423101332202020000
5144301331443230
65321534333440
7606110543646
oct132176421000
934234266406
1012112765440
115156381a56
12242065a280
1311b0627839
1482c9b3196
154ad5e7810
hex2d1fa2200

12112765440 has 80 divisors (see below), whose sum is σ = 38723021568. Its totient is φ = 3230068736.

The previous prime is 12112765433. The next prime is 12112765447. The reversal of 12112765440 is 4456721121.

It is an interprime number because it is at equal distance from previous prime (12112765433) and next prime (12112765447).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12112765447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780912 + ... + 796271.

Almost surely, 212112765440 is an apocalyptic number.

12112765440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112765440 is an abundant number, since it is smaller than the sum of its proper divisors (26610256128).

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

12112765440 is an equidigital number, since it uses as much as digits as its factorization.

12112765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577209 (or 1577193 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 12112765440 in words is "twelve billion, one hundred twelve million, seven hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 1577183 3154366 4731549 6308732 7885915 9463098 12617464 15771830 18926196 23657745 25234928 31543660 37852392 47315490 50469856 63087320 75704784 94630980 100939712 126174640 151409568 189261960 201879424 252349280 302819136 378523920 403758848 504698560 605638272 757047840 807517696 1009397120 1211276544 1514095680 2018794240 2422553088 3028191360 4037588480 6056382720 12112765440