Search a number
-
+
12012601032600 = 23352712972205199
BaseRepresentation
bin1010111011001110011011…
…0100010011111110011000
31120112101121211010212212120
42232303212310103332120
53033303301331020400
641314302425541240
72346611311015620
oct256634664237630
946471554125776
1012012601032600
11391157412a133
121420157944820
13691a25221cac
142d75ad371880
1515c71e314ca0
hexaece6d13f98

12012601032600 has 192 divisors, whose sum is σ = 42591762048000. Its totient is φ = 2743619143680.

The previous prime is 12012601032589. The next prime is 12012601032631. The reversal of 12012601032600 is 623010621021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4344801 + ... + 6549999.

It is an arithmetic number, because the mean of its divisors is an integer number (221832094000).

Almost surely, 212012601032600 is an apocalyptic number.

12012601032600 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 12012601032600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21295881024000).

12012601032600 is an abundant number, since it is smaller than the sum of its proper divisors (30579161015400).

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

12012601032600 is a wasteful number, since it uses less digits than its factorization.

12012601032600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206522 (or 2206513 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12012601032600 its reverse (623010621021), we get a palindrome (12635611653621).

The spelling of 12012601032600 in words is "twelve trillion, twelve billion, six hundred one million, thirty-two thousand, six hundred".