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12410000302120 = 2351013071782253
BaseRepresentation
bin1011010010010110110110…
…1010001110000000101000
31121221101101020222110100021
42310211231222032000220
53111311140034131440
642221024143250224
72420410243044211
oct264455552160050
947841336873307
1012410000302120
113a550627081a3
121485183ba9974
136c0347ac2a55
1430c90bd82408
15167c2c73684a
hexb496da8e028

12410000302120 has 32 divisors (see below), whose sum is σ = 28198961091720. Its totient is φ = 4914851603200.

The previous prime is 12410000302111. The next prime is 12410000302163. The reversal of 12410000302120 is 2120300001421.

It can be written as a sum of positive squares in 4 ways, for example, as 9791254293604 + 2618746008516 = 3129098^2 + 1618254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12410000302094 and 12410000302103.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1535887087 + ... + 1535895166.

Almost surely, 212410000302120 is an apocalyptic number.

12410000302120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12410000302120 is an abundant number, since it is smaller than the sum of its proper divisors (15788960789600).

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

12410000302120 is a wasteful number, since it uses less digits than its factorization.

12410000302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071782365 (or 3071782361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12410000302120 its reverse (2120300001421), we get a palindrome (14530300303541).

The spelling of 12410000302120 in words is "twelve trillion, four hundred ten billion, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 3071782253 6143564506 12287129012 15358911265 24574258024 30717822530 61435645060 122871290120 310250007553 620500015106 1241000030212 1551250037765 2482000060424 3102500075530 6205000151060 12410000302120