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12210112212200 = 2352719962876971
BaseRepresentation
bin1011000110101110001101…
…1001101010110011101000
31121020021102201021101121122
42301223203121222303220
53100022302211242300
641545125331554412
72400102651235520
oct261534331526350
947207381241548
1012210112212200
113988309032771
121452499a5ba08
136a7540a27476
14302d88ab2680
1516292e01ac85
hexb1ae366ace8

12210112212200 has 192 divisors, whose sum is σ = 32616912384000. Its totient is φ = 4164027436800.

The previous prime is 12210112212167. The next prime is 12210112212203. The reversal of 12210112212200 is 221221101221.

It is not an unprimeable number, because it can be changed into a prime (12210112212203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1751554715 + ... + 1751561685.

It is an arithmetic number, because the mean of its divisors is an integer number (169879752000).

Almost surely, 212210112212200 is an apocalyptic number.

12210112212200 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 12210112212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16308456192000).

12210112212200 is an abundant number, since it is smaller than the sum of its proper divisors (20406800171800).

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

12210112212200 is a wasteful number, since it uses less digits than its factorization.

12210112212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13480 (or 13471 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12210112212200 its reverse (221221101221), we get a palindrome (12431333313421).

The spelling of 12210112212200 in words is "twelve trillion, two hundred ten billion, one hundred twelve million, two hundred twelve thousand, two hundred".