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12120200010 = 2325134668889
BaseRepresentation
bin10110100100110101…
…11001001101001010
31011021200021221202200
423102122321031022
5144310232400020
65322401541030
7606231000042
oct132232711512
934250257680
1012120200010
11515a59a726
122423044776
1311b202b7a9
1482d98a722
154ae0b5590
hex2d26b934a

12120200010 has 24 divisors (see below), whose sum is σ = 31512520260. Its totient is φ = 3232053312.

The previous prime is 12120200009. The next prime is 12120200023. The reversal of 12120200010 is 1000202121.

12120200010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10241237601 + 1878962409 = 101199^2 + 43347^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12120199965 and 12120200001.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 67334355 + ... + 67334534.

Almost surely, 212120200010 is an apocalyptic number.

12120200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120200010 is an abundant number, since it is smaller than the sum of its proper divisors (19392320250).

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

12120200010 is a wasteful number, since it uses less digits than its factorization.

12120200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134668902 (or 134668899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12120200010 its reverse (1000202121), we get a palindrome (13120402131).

The spelling of 12120200010 in words is "twelve billion, one hundred twenty million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 134668889 269337778 404006667 673344445 808013334 1212020001 1346688890 2020033335 2424040002 4040066670 6060100005 12120200010