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12331320202200 = 233521761151131251
BaseRepresentation
bin1011001101110001101111…
…1101011101001111011000
31121122212021220111020212110
42303130123331131033120
53104014020432432300
642120532535512320
72411623416164616
oct263343375351730
947585256436773
1012331320202200
113a2475786062a
121471a862286a0
136b5ab92729cc
14308ba66286b6
15165b75089550
hexb371bf5d3d8

12331320202200 has 384 divisors, whose sum is σ = 41412043031040. Its totient is φ = 3024000000000.

The previous prime is 12331320202153. The next prime is 12331320202241. The reversal of 12331320202200 is 220202313321.

It is a happy number.

It is a super-2 number, since 2×123313202022002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93886575 + ... + 94017825.

It is an arithmetic number, because the mean of its divisors is an integer number (107843862060).

Almost surely, 212331320202200 is an apocalyptic number.

12331320202200 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 12331320202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20706021515520).

12331320202200 is an abundant number, since it is smaller than the sum of its proper divisors (29080722828840).

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

12331320202200 is a wasteful number, since it uses less digits than its factorization.

12331320202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131499 (or 131490 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12331320202200 its reverse (220202313321), we get a palindrome (12551522515521).

The spelling of 12331320202200 in words is "twelve trillion, three hundred thirty-one billion, three hundred twenty million, two hundred two thousand, two hundred".