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1330211222000 = 24531747380713
BaseRepresentation
bin10011010110110110110…
…001000111000111110000
311201011111201002112201022
4103112312301013013300
5133243233033101000
62455031322555012
7165050605553663
oct23266661070760
94634451075638
101330211222000
11473159613461
12195979068a68
139859117566b
144854da976da
1524906373585
hex135b6c471f0

1330211222000 has 80 divisors (see below), whose sum is σ = 3218300316192. Its totient is φ = 531778521600.

The previous prime is 1330211221957. The next prime is 1330211222003. The reversal of 1330211222000 is 2221120331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1330211222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330211222003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3303644 + ... + 3684356.

Almost surely, 21330211222000 is an apocalyptic number.

1330211222000 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 1330211222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609150158096).

1330211222000 is an abundant number, since it is smaller than the sum of its proper divisors (1888089094192).

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

1330211222000 is a wasteful number, since it uses less digits than its factorization.

1330211222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382483 (or 382467 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1330211222000 its reverse (2221120331), we get a palindrome (1332432342331).

The spelling of 1330211222000 in words is "one trillion, three hundred thirty billion, two hundred eleven million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1747 2000 3494 6988 8735 13976 17470 27952 34940 43675 69880 87350 139760 174700 218375 349400 380713 436750 698800 761426 873500 1522852 1747000 1903565 3045704 3494000 3807130 6091408 7614260 9517825 15228520 19035650 30457040 38071300 47589125 76142600 95178250 152285200 190356500 380713000 665105611 761426000 1330211222 2660422444 3325528055 5320844888 6651056110 10641689776 13302112220 16627640275 26604224440 33255280550 53208448880 66510561100 83138201375 133021122200 166276402750 266042244400 332552805500 665105611000 1330211222000