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120012000010 = 2572244922449
BaseRepresentation
bin110111111000101000…
…1011100101100001010
3102110202211202021102021
41233301101130230022
53431241033000020
6131044401355054
711446003111600
oct1576121345412
9373684667367
10120012000010
1146995710991
121b313938a8a
13b417829376
145b46b8b870
1531c60761aa
hex1bf145cb0a

120012000010 has 24 divisors (see below), whose sum is σ = 251290433700. Its totient is φ = 41146971264.

The previous prime is 120011999971. The next prime is 120012000011. The reversal of 120012000010 is 10000210021.

It can be written as a sum of positive squares in 2 ways, for example, as 110803102641 + 9208897369 = 332871^2 + 95963^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 120011999957 and 120012000002.

It is not an unprimeable number, because it can be changed into a prime (120012000011) 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 11 ways as a sum of consecutive naturals, for example, 122460735 + ... + 122461714.

Almost surely, 2120012000010 is an apocalyptic number.

120012000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120012000010 is an abundant number, since it is smaller than the sum of its proper divisors (131278433690).

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

120012000010 is a wasteful number, since it uses less digits than its factorization.

120012000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244922470 (or 244922463 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 120012000010 its reverse (10000210021), we get a palindrome (130012210031).

The spelling of 120012000010 in words is "one hundred twenty billion, twelve million, ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 244922449 489844898 1224612245 1714457143 2449224490 3428914286 8572285715 12001200001 17144571430 24002400002 60006000005 120012000010