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12200200000 = 265561001
BaseRepresentation
bin10110101110011000…
…00100011101000000
31011111020211101010021
423113030010131000
5144441222400000
65334340343224
7611221663132
oct132714043500
934436741107
1012200200000
1151a077091a
1224459a4b14
1311c578bb71
1483a453052
154b611911a
hex2d7304740

12200200000 has 84 divisors (see below), whose sum is σ = 30260774124. Its totient is φ = 4880000000.

The previous prime is 12200199989. The next prime is 12200200007. The reversal of 12200200000 is 200221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9286791424 + 2913408576 = 96368^2 + 53976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200200007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169500 + ... + 230500.

It is an arithmetic number, because the mean of its divisors is an integer number (360247311).

Almost surely, 212200200000 is an apocalyptic number.

12200200000 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 12200200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130387062).

12200200000 is an abundant number, since it is smaller than the sum of its proper divisors (18060574124).

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

12200200000 is an frugal number, since it uses more digits than its factorization.

12200200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61038 (or 61008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 12200200000 its reverse (200221), we get a palindrome (12200400221).

The spelling of 12200200000 in words is "twelve billion, two hundred million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 25000 40000 50000 61001 100000 122002 200000 244004 305005 488008 610010 976016 1220020 1525025 1952032 2440040 3050050 3904064 4880080 6100100 7625125 9760160 12200200 15250250 19520320 24400400 30500500 38125625 48800800 61001000 76251250 97601600 122002000 152502500 190628125 244004000 305005000 381256250 488008000 610010000 762512500 1220020000 1525025000 2440040000 3050050000 6100100000 12200200000