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12123430014304 = 25782165922601
BaseRepresentation
bin1011000001101011010010…
…1111010100110101100000
31120220222200200102111100201
42300122310233110311200
53042112241040424204
641441232111354544
72360613616560430
oct260326457246540
946828620374321
1012123430014304
113954577205494
121439728222a54
1369c3083ab3cb
142dcac46a62c0
151605590ab9a4
hexb06b4bd4d60

12123430014304 has 48 divisors (see below), whose sum is σ = 27310942937376. Its totient is φ = 5189427072000.

The previous prime is 12123430014253. The next prime is 12123430014307. The reversal of 12123430014304 is 40341003432121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123430014307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32777397 + ... + 33145204.

It is an arithmetic number, because the mean of its divisors is an integer number (568977977862).

Almost surely, 212123430014304 is an apocalyptic number.

12123430014304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12123430014304 is an abundant number, since it is smaller than the sum of its proper divisors (15187512923072).

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

12123430014304 is an equidigital number, since it uses as much as digits as its factorization.

12123430014304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65923439 (or 65923431 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 12123430014304 its reverse (40341003432121), we get a palindrome (52464433446425).

The spelling of 12123430014304 in words is "twelve trillion, one hundred twenty-three billion, four hundred thirty million, fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 821 1642 3284 5747 6568 11494 13136 22988 26272 45976 91952 183904 65922601 131845202 263690404 461458207 527380808 922916414 1054761616 1845832828 2109523232 3691665656 7383331312 14766662624 54122455421 108244910842 216489821684 378857187947 432979643368 757714375894 865959286736 1515428751788 1731918573472 3030857503576 6061715007152 12123430014304