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12023112342304 = 257179299858149
BaseRepresentation
bin1010111011110101100101…
…0101110001101100100000
31120120101202101000202001101
42232331121111301230200
53033441313224423204
641323201435444144
72350432634460460
oct256753125615440
946511671022041
1012023112342304
113915a78525748
1214221abbb6654
13692a0bb2428b
142d7cc9391ba0
1515cb37021ea4
hexaef59571b20

12023112342304 has 48 divisors (see below), whose sum is σ = 27203131368000. Its totient is φ = 5123976033024.

The previous prime is 12023112342281. The next prime is 12023112342317. The reversal of 12023112342304 is 40324321132021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149888979 + ... + 149969170.

It is an arithmetic number, because the mean of its divisors is an integer number (566731903500).

Almost surely, 212023112342304 is an apocalyptic number.

12023112342304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12023112342304 is an abundant number, since it is smaller than the sum of its proper divisors (15180019025696).

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

12023112342304 is a wasteful number, since it uses less digits than its factorization.

12023112342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299858345 (or 299858337 counting only the distinct ones).

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

Adding to 12023112342304 its reverse (40324321132021), we get a palindrome (52347433474325).

The spelling of 12023112342304 in words is "twelve trillion, twenty-three billion, one hundred twelve million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 179 224 358 716 1253 1432 2506 2864 5012 5728 10024 20048 40096 299858149 599716298 1199432596 2099007043 2398865192 4198014086 4797730384 8396028172 9595460768 16792056344 33584112688 53674608671 67168225376 107349217342 214698434684 375722260697 429396869368 751444521394 858793738736 1502889042788 1717587477472 3005778085576 6011556171152 12023112342304