Search a number
-
+
12030312010200 = 23352112481334429
BaseRepresentation
bin1010111100010000011001…
…1110010101000111011000
31120121002100010110202200220
42233010012132111013120
53034101034333311300
641330352105400040
72351106226602051
oct257040636250730
946532303422626
1012030312010200
113919032555800
12142367b199020
136935b85c92b3
142d83ad645728
1515ce0912bda0
hexaf1067951d8

12030312010200 has 288 divisors, whose sum is σ = 41002250427600. Its totient is φ = 2915748633600.

The previous prime is 12030312010193. The next prime is 12030312010207. The reversal of 12030312010200 is 201021303021.

It is an interprime number because it is at equal distance from previous prime (12030312010193) and next prime (12030312010207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12030312010200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030312010207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 349406586 + ... + 349441014.

Almost surely, 212030312010200 is an apocalyptic number.

12030312010200 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 12030312010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20501125213800).

12030312010200 is an abundant number, since it is smaller than the sum of its proper divisors (28971938417400).

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

12030312010200 is a wasteful number, since it uses less digits than its factorization.

12030312010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39283 (or 39263 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12030312010200 its reverse (201021303021), we get a palindrome (12231333313221).

The spelling of 12030312010200 in words is "twelve trillion, thirty billion, three hundred twelve million, ten thousand, two hundred".