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12420002421 = 3289101153521
BaseRepresentation
bin10111001000100101…
…00011001001110101
31012001120102111100200
423210102203021311
5200414010034141
65412231431113
7616531164411
oct134422431165
935046374320
1012420002421
1152a3849712
1224a7525499
13122c18a678
1485b70bd41
154ca585ab6
hex2e44a3275

12420002421 has 24 divisors (see below), whose sum is σ = 18321315480. Its totient is φ = 8105856000.

The previous prime is 12420002407. The next prime is 12420002431.

12420002421 is a `hidden beast` number, since 1 + 2 + 420 + 0 + 0 + 242 + 1 = 666.

12420002421 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3211488900 + 9208513521 = 56670^2 + 95961^2 .

It is not a de Polignac number, because 12420002421 - 214 = 12419986037 is a prime.

It is a super-2 number, since 2×124200024212 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12420002394 and 12420002403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420002431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4141 + ... + 157661.

It is an arithmetic number, because the mean of its divisors is an integer number (763388145).

Almost surely, 212420002421 is an apocalyptic number.

It is an amenable number.

12420002421 is a deficient number, since it is larger than the sum of its proper divisors (5901313059).

12420002421 is a wasteful number, since it uses less digits than its factorization.

12420002421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153717 (or 153714 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 1242000 and 2421, that added together give a palindrome (1244421).

The spelling of 12420002421 in words is "twelve billion, four hundred twenty million, two thousand, four hundred twenty-one".

Divisors: 1 3 9 89 101 267 303 801 909 8989 26967 80901 153521 460563 1381689 13663369 15505621 40990107 46516863 122970321 139550589 1380000269 4140000807 12420002421