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12212021200 = 245230530053
BaseRepresentation
bin10110101111110010…
…01010011111010000
31011112002001221202111
423113321022133100
5200002234134300
65335441555104
7611424316231
oct132771123720
934462057674
1012212021200
1151a7405305
122449945a94
1311c806a662
1483bc4d088
154b71a19ba
hex2d7e4a7d0

12212021200 has 30 divisors (see below), whose sum is σ = 29339381894. Its totient is φ = 4884808320.

The previous prime is 12212021137. The next prime is 12212021207. The reversal of 12212021200 is 212021221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 12212018064 = 56^2 + 110508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212021207) 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 5 ways as a sum of consecutive naturals, for example, 15264627 + ... + 15265426.

Almost surely, 212212021200 is an apocalyptic number.

12212021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212021200 is an abundant number, since it is smaller than the sum of its proper divisors (17127360694).

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

12212021200 is a wasteful number, since it uses less digits than its factorization.

12212021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30530071 (or 30530060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12212021200 its reverse (212021221), we get a palindrome (12424042421).

The spelling of 12212021200 in words is "twelve billion, two hundred twelve million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30530053 61060106 122120212 152650265 244240424 305300530 488480848 610601060 763251325 1221202120 1526502650 2442404240 3053005300 6106010600 12212021200