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12002001210 = 2325133355569
BaseRepresentation
bin10110010110110000…
…00000000100111010
31010222102212211111100
423023120000010322
5144040003014320
65302540312230
7603264220113
oct131330000472
933872784440
1012002001210
1150a98a9171
1223ab542676
1311936b5684
1481bdbd20a
154a3a18790
hex2cb60013a

12002001210 has 24 divisors (see below), whose sum is σ = 31205203380. Its totient is φ = 3200533632.

The previous prime is 12002001203. The next prime is 12002001223. The reversal of 12002001210 is 1210020021.

It can be written as a sum of positive squares in 2 ways, for example, as 11916123921 + 85877289 = 109161^2 + 9267^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12002001192 and 12002001201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66677695 + ... + 66677874.

Almost surely, 212002001210 is an apocalyptic number.

12002001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002001210 is an abundant number, since it is smaller than the sum of its proper divisors (19203202170).

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

12002001210 is a wasteful number, since it uses less digits than its factorization.

12002001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133355582 (or 133355579 counting only the distinct ones).

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

Adding to 12002001210 its reverse (1210020021), we get a palindrome (13212021231).

The spelling of 12002001210 in words is "twelve billion, two million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 133355569 266711138 400066707 666777845 800133414 1200200121 1333555690 2000333535 2400400242 4000667070 6001000605 12002001210