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12301013120 = 275111747303
BaseRepresentation
bin10110111010011001…
…01001000010000000
31011202021112012201112
423131030221002000
5200143024404440
65352341222452
7613554613004
oct133514510200
934667465645
1012301013120
115242668250
122473701a28
1312106287b6
148499b6704
154bedce965
hex2dd329080

12301013120 has 64 divisors (see below), whose sum is σ = 32080501440. Its totient is φ = 4473093120.

The previous prime is 12301013107. The next prime is 12301013141. The reversal of 12301013120 is 2131010321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12301013095 and 12301013104.

It is an unprimeable number.

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, 866612 + ... + 880691.

It is an arithmetic number, because the mean of its divisors is an integer number (501257835).

Almost surely, 212301013120 is an apocalyptic number.

12301013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12301013120 is an abundant number, since it is smaller than the sum of its proper divisors (19779488320).

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

12301013120 is a wasteful number, since it uses less digits than its factorization.

12301013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747333 (or 1747321 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12301013120 its reverse (2131010321), we get a palindrome (14432023441).

The spelling of 12301013120 in words is "twelve billion, three hundred one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 1747303 3494606 6989212 8736515 13978424 17473030 19220333 27956848 34946060 38440666 55913696 69892120 76881332 96101665 111827392 139784240 153762664 192203330 223654784 279568480 307525328 384406660 559136960 615050656 768813320 1118273920 1230101312 1537626640 2460202624 3075253280 6150506560 12301013120