Search a number
-
+
12011020210000 = 24547237460261
BaseRepresentation
bin1010111011001000100010…
…0101111100111101010000
31120112020112122112202221101
42232302020211330331100
53033242032133210000
641313441515234144
72346524164160440
oct256621045747520
946466478482841
1012011020210000
113910932866779
12141b996448954
136918328720c6
142d749d430120
1515c67a652e6a
hexaec8897cf50

12011020210000 has 200 divisors, whose sum is σ = 34679117430144. Its totient is φ = 3939017280000.

The previous prime is 12011020209973. The next prime is 12011020210001. The reversal of 12011020210000 is 1202011021.

12011020210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011020210001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2120131 + ... + 5340130.

Almost surely, 212011020210000 is an apocalyptic number.

12011020210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011020210000 is an abundant number, since it is smaller than the sum of its proper divisors (22668097220144).

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

12011020210000 is an equidigital number, since it uses as much as digits as its factorization.

12011020210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7460319 (or 7460298 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12011020210000 its reverse (1202011021), we get a palindrome (12012222221021).

The spelling of 12011020210000 in words is "twelve trillion, eleven billion, twenty million, two hundred ten thousand".