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12203441000 = 235337332717
BaseRepresentation
bin10110101110110000…
…11011101101101000
31011111110221000221022
423113120123231220
5144443040103000
65334534032012
7611261352122
oct132730335550
934443830838
1012203441000
1151a2584933
122446aa8608
1311c635510a
1483aa58212
154b6559585
hex2d761bb68

12203441000 has 64 divisors (see below), whose sum is σ = 28633484880. Its totient is φ = 4868140800.

The previous prime is 12203440987. The next prime is 12203441009. The reversal of 12203441000 is 14430221.

It can be written as a sum of positive squares in 8 ways, for example, as 2309955844 + 9893485156 = 48062^2 + 99466^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12203441000.

It is not an unprimeable number, because it can be changed into a prime (12203441009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356642 + ... + 389358.

Almost surely, 212203441000 is an apocalyptic number.

12203441000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12203441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316742440).

12203441000 is an abundant number, since it is smaller than the sum of its proper divisors (16430043880).

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

12203441000 is a wasteful number, since it uses less digits than its factorization.

12203441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33111 (or 33097 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12203441000 its reverse (14430221), we get a palindrome (12217871221).

The spelling of 12203441000 in words is "twelve billion, two hundred three million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 373 500 746 1000 1492 1865 2984 3730 7460 9325 14920 18650 32717 37300 46625 65434 74600 93250 130868 163585 186500 261736 327170 373000 654340 817925 1308680 1635850 3271700 4089625 6543400 8179250 12203441 16358500 24406882 32717000 48813764 61017205 97627528 122034410 244068820 305086025 488137640 610172050 1220344100 1525430125 2440688200 3050860250 6101720500 12203441000