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12102321222000 = 2432531733886423
BaseRepresentation
bin1011000000011100101010…
…0011101011000101110000
31120211222012120111202000100
42300013022203223011300
53041241023213101000
641423421332552400
72356235542031052
oct260071243530560
946758176452010
1012102321222000
113946624906399
121435616a82700
1369a323094b69
142dba810338d2
1515ec20d1ea00
hexb01ca8eb170

12102321222000 has 240 divisors, whose sum is σ = 42513716501568. Its totient is φ = 3208630003200.

The previous prime is 12102321221971. The next prime is 12102321222007. The reversal of 12102321222000 is 22212320121.

12102321222000 is a `hidden beast` number, since 1 + 210 + 23 + 212 + 220 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102321222007) 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 47 ways as a sum of consecutive naturals, for example, 1170789 + ... + 5057211.

Almost surely, 212102321222000 is an apocalyptic number.

12102321222000 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 12102321222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21256858250784).

12102321222000 is an abundant number, since it is smaller than the sum of its proper divisors (30411395279568).

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

12102321222000 is a wasteful number, since it uses less digits than its factorization.

12102321222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886625 (or 3886606 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12102321222000 its reverse (22212320121), we get a palindrome (12124533542121).

The spelling of 12102321222000 in words is "twelve trillion, one hundred two billion, three hundred twenty-one million, two hundred twenty-two thousand".