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12003211010 = 257271345019
BaseRepresentation
bin10110010110111001…
…00111011100000010
31010222112011022000202
423023130213130002
5144040310223020
65303022245202
7603310416200
oct131334473402
933875138022
1012003211010
1150aa5550aa
1223aba26802
131193a1a22b
1481c216070
154a3ba6e75
hex2cb727702

12003211010 has 48 divisors (see below), whose sum is σ = 25487317440. Its totient is φ = 4057411680.

The previous prime is 12003211009. The next prime is 12003211019. The reversal of 12003211010 is 1011230021.

12003211010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12003210982 and 12003211000.

It is not an unprimeable number, because it can be changed into a prime (12003211019) 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 23 ways as a sum of consecutive naturals, for example, 137720 + ... + 207299.

It is an arithmetic number, because the mean of its divisors is an integer number (530985780).

Almost surely, 212003211010 is an apocalyptic number.

12003211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12003211010 is an abundant number, since it is smaller than the sum of its proper divisors (13484106430).

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

12003211010 is a wasteful number, since it uses less digits than its factorization.

12003211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345111 (or 345104 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12003211010 its reverse (1011230021), we get a palindrome (13014441031).

The spelling of 12003211010 in words is "twelve billion, three million, two hundred eleven thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 71 98 142 245 355 490 497 710 994 2485 3479 4970 6958 17395 34790 345019 690038 1725095 2415133 3450190 4830266 12075665 16905931 24151330 24496349 33811862 48992698 84529655 122481745 169059310 171474443 244963490 342948886 857372215 1200321101 1714744430 2400642202 6001605505 12003211010