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1200240012 = 2237321372
BaseRepresentation
bin100011110001010…
…0011010110001100
310002122110111202210
41013202203112030
54424230140022
6315033150420
741512605006
oct10742432614
93078414683
101200240012
115665600a4
12295b5b410
131618797ba
14b5593376
1570586a0c
hex478a358c

1200240012 has 54 divisors (see below), whose sum is σ = 2860326588. Its totient is φ = 391719168.

The previous prime is 1200240011. The next prime is 1200240017. The reversal of 1200240012 is 2100420021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1200240012.

It is not an unprimeable number, because it can be changed into a prime (1200240011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8760808 + ... + 8760944.

Almost surely, 21200240012 is an apocalyptic number.

1200240012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1200240012 is an abundant number, since it is smaller than the sum of its proper divisors (1660086576).

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

1200240012 is an equidigital number, since it uses as much as digits as its factorization.

1200240012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1200240012 is about 34644.4802529927. The cubic root of 1200240012 is about 1062.7294119065.

Multiplying 1200240012 by its sum of digits (12), we get a square (14402880144 = 1200122).

1200240012 divided by its sum of digits (12) gives a palindrome (100020001).

Adding to 1200240012 its reverse (2100420021), we get a palindrome (3300660033).

Subtracting 1200240012 from its reverse (2100420021), we obtain a square (900180009 = 300032).

The spelling of 1200240012 in words is "one billion, two hundred million, two hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 12 73 137 146 219 274 292 411 438 548 822 876 1644 5329 10001 10658 15987 18769 20002 21316 30003 31974 37538 40004 56307 60006 63948 75076 112614 120012 225228 730073 1370137 1460146 2190219 2740274 2920292 4110411 4380438 5480548 8220822 8760876 16441644 100020001 200040002 300060003 400080004 600120006 1200240012