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12414012320 = 25577587577
BaseRepresentation
bin10111000111110111…
…01100101110100000
31012001011011011111002
423203323230232200
5200410441343240
65411455211132
7616426235513
oct134373545640
935034134432
1012414012320
1152a0428216
1224a5516aa8
13122ab71028
1485a9ccd7a
154c9ca0d15
hex2e3eecba0

12414012320 has 24 divisors (see below), whose sum is σ = 29328104484. Its totient is φ = 4965604864.

The previous prime is 12414012319. The next prime is 12414012329. The reversal of 12414012320 is 2321041421.

It can be written as a sum of positive squares in 2 ways, for example, as 11621702416 + 792309904 = 107804^2 + 28148^2 .

It is a super-2 number, since 2×124140123202 (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 = 12414012292 and 12414012301.

It is not an unprimeable number, because it can be changed into a prime (12414012329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38793629 + ... + 38793948.

Almost surely, 212414012320 is an apocalyptic number.

12414012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414012320 is an abundant number, since it is smaller than the sum of its proper divisors (16914092164).

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

12414012320 is an equidigital number, since it uses as much as digits as its factorization.

12414012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77587592 (or 77587584 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12414012320 its reverse (2321041421), we get a palindrome (14735053741).

The spelling of 12414012320 in words is "twelve billion, four hundred fourteen million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 77587577 155175154 310350308 387937885 620700616 775875770 1241401232 1551751540 2482802464 3103503080 6207006160 12414012320