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12203400040 = 2351323468077
BaseRepresentation
bin10110101110110000…
…10001101101101000
31011111110211221202021
423113120101231220
5144443032300130
65334533114224
7611261121526
oct132730215550
934443757667
1012203400040
1151a2557087
122446a88974
1311c633c590
1483aa47316
154b654c37a
hex2d7611b68

12203400040 has 32 divisors (see below), whose sum is σ = 29569778280. Its totient is φ = 4505870592.

The previous prime is 12203400031. The next prime is 12203400059. The reversal of 12203400040 is 4000430221.

12203400040 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 4 ways, for example, as 5778736324 + 6424663716 = 76018^2 + 80154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12203399987 and 12203400023.

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 7 ways as a sum of consecutive naturals, for example, 11733519 + ... + 11734558.

Almost surely, 212203400040 is an apocalyptic number.

12203400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12203400040 is an abundant number, since it is smaller than the sum of its proper divisors (17366378240).

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

12203400040 is a wasteful number, since it uses less digits than its factorization.

12203400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23468101 (or 23468097 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12203400040 its reverse (4000430221), we get a palindrome (16203830261).

The spelling of 12203400040 in words is "twelve billion, two hundred three million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 23468077 46936154 93872308 117340385 187744616 234680770 305085001 469361540 610170002 938723080 1220340004 1525425005 2440680008 3050850010 6101700020 12203400040