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12404400320 = 265132981827
BaseRepresentation
bin10111000110101110…
…00010000011000000
31012000111001211022002
423203113002003000
5200401011302240
65410513203132
7616251443264
oct134327020300
935014054262
1012404400320
115295a62614
1224a22604a8
131228b86c60
1485960a0a4
154c9002d15
hex2e35c20c0

12404400320 has 56 divisors (see below), whose sum is σ = 31810141104. Its totient is φ = 4580084736.

The previous prime is 12404400299. The next prime is 12404400329. The reversal of 12404400320 is 2300440421.

It is a super-2 number, since 2×124044003202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12404400292 and 12404400301.

It is not an unprimeable number, because it can be changed into a prime (12404400329) 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, 1486754 + ... + 1495073.

It is an arithmetic number, because the mean of its divisors is an integer number (568038234).

Almost surely, 212404400320 is an apocalyptic number.

12404400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12404400320 is an abundant number, since it is smaller than the sum of its proper divisors (19405740784).

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

12404400320 is a wasteful number, since it uses less digits than its factorization.

12404400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981857 (or 2981847 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12404400320 its reverse (2300440421), we get a palindrome (14704840741).

The spelling of 12404400320 in words is "twelve billion, four hundred four million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 2981827 5963654 11927308 14909135 23854616 29818270 38763751 47709232 59636540 77527502 95418464 119273080 155055004 190836928 193818755 238546160 310110008 387637510 477092320 620220016 775275020 954184640 1240440032 1550550040 2480880064 3101100080 6202200160 12404400320