Search a number
-
+
12333213232000 = 2753770825827
BaseRepresentation
bin1011001101111000110011…
…0010110010101110000000
31121200001011211120010120021
42303132030302302232000
53104031410041411000
642121444442023224
72412021343524133
oct263361462625600
947601154503507
1012333213232000
113a25539385971
1214723141a7b14
136b602b505a9b
14308d05bda21a
15165c3636c11a
hexb378ccb2b80

12333213232000 has 64 divisors (see below), whose sum is σ = 30663451437840. Its totient is φ = 4933285286400.

The previous prime is 12333213231961. The next prime is 12333213232033. The reversal of 12333213232000 is 23231233321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385396914 + ... + 385428913.

Almost surely, 212333213232000 is an apocalyptic number.

12333213232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333213232000 is an abundant number, since it is smaller than the sum of its proper divisors (18330238205840).

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

12333213232000 is an frugal number, since it uses more digits than its factorization.

12333213232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770825856 (or 770825834 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 12333213232000 its reverse (23231233321), we get a palindrome (12356444465321).

The spelling of 12333213232000 in words is "twelve trillion, three hundred thirty-three billion, two hundred thirteen million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 770825827 1541651654 3083303308 3854129135 6166606616 7708258270 12333213232 15416516540 19270645675 24666426464 30833033080 38541291350 49332852928 61666066160 77082582700 96353228375 98665705856 123332132320 154165165400 192706456750 246664264640 308330330800 385412913500 493328529280 616660661600 770825827000 1233321323200 1541651654000 2466642646400 3083303308000 6166606616000 12333213232000