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12402420225 = 3521371179161
BaseRepresentation
bin10111000110011110…
…11110101000000001
31012000100100020010020
423203033132220001
5200400004421400
65410402524053
7616225555356
oct134317365001
935010306106
1012402420225
11529492a978
1224a1666629
1312286428c0
1485925262d
154c8c612a0
hex2e33dea01

12402420225 has 48 divisors (see below), whose sum is σ = 22393816704. Its totient is φ = 6019776000.

The previous prime is 12402420223. The next prime is 12402420229. The reversal of 12402420225 is 52202420421.

12402420225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12402420225 - 21 = 12402420223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12402420195 and 12402420204.

It is not an unprimeable number, because it can be changed into a prime (12402420223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20356 + ... + 158805.

It is an arithmetic number, because the mean of its divisors is an integer number (466537848).

Almost surely, 212402420225 is an apocalyptic number.

12402420225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12402420225 is a deficient number, since it is larger than the sum of its proper divisors (9991396479).

12402420225 is a wasteful number, since it uses less digits than its factorization.

12402420225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179258 (or 179253 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 12402420225 its reverse (52202420421), we get a palindrome (64604840646).

The spelling of 12402420225 in words is "twelve billion, four hundred two million, four hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 71 75 195 213 325 355 923 975 1065 1775 2769 4615 5325 13845 23075 69225 179161 537483 895805 2329093 2687415 4479025 6987279 11645465 12720431 13437075 34936395 38161293 58227325 63602155 165365603 174681975 190806465 318010775 496096809 826828015 954032325 2480484045 4134140075 12402420225