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12103312220200 = 2352292717912829
BaseRepresentation
bin1011000000100000010110…
…1000000010000000101000
31120212001202122020122222101
42300020011220002000220
53041300040412021300
641424103533303144
72356302234260455
oct260100550020050
946761678218871
1012103312220200
113946a93240a73
121435852934ab4
1369a45049c926
142dbb368ba82c
1515ec7cd23b6a
hexb0205a02028

12103312220200 has 288 divisors, whose sum is σ = 29930932512000. Its totient is φ = 4549855564800.

The previous prime is 12103312220123. The next prime is 12103312220221. The reversal of 12103312220200 is 202221330121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 943427386 + ... + 943440214.

It is an arithmetic number, because the mean of its divisors is an integer number (103926849000).

Almost surely, 212103312220200 is an apocalyptic number.

12103312220200 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 12103312220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965466256000).

12103312220200 is an abundant number, since it is smaller than the sum of its proper divisors (17827620291800).

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

12103312220200 is a wasteful number, since it uses less digits than its factorization.

12103312220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13053 (or 13015 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12103312220200 its reverse (202221330121), we get a palindrome (12305533550321).

The spelling of 12103312220200 in words is "twelve trillion, one hundred three billion, three hundred twelve million, two hundred twenty thousand, two hundred".