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12103133222200 = 235210110727120663
BaseRepresentation
bin1011000000011111101011…
…1101001101010100111000
31120212001022011102121212211
42300013322331031110320
53041244204101102300
641424034100544504
72356264631644426
oct260077275152470
946761264377784
1012103133222200
113946a011a3139
1214358029b2134
1369a422389b57
142dbb1ac04116
1515ec6c2674ba
hexb01faf4d538

12103133222200 has 192 divisors, whose sum is σ = 28791227243520. Its totient is φ = 4730771520000.

The previous prime is 12103133222183. The next prime is 12103133222203. The reversal of 12103133222200 is 222233130121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103133222203) 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, 585729069 + ... + 585749731.

It is an arithmetic number, because the mean of its divisors is an integer number (149954308560).

Almost surely, 212103133222200 is an apocalyptic number.

12103133222200 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 12103133222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395613621760).

12103133222200 is an abundant number, since it is smaller than the sum of its proper divisors (16688094021320).

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

12103133222200 is a wasteful number, since it uses less digits than its factorization.

12103133222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21158 (or 21149 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12103133222200 its reverse (222233130121), we get a palindrome (12325366352321).

The spelling of 12103133222200 in words is "twelve trillion, one hundred three billion, one hundred thirty-three million, two hundred twenty-two thousand, two hundred".