Search a number
-
+
12201000020000 = 255411109508799
BaseRepresentation
bin1011000110001100010001…
…0001011010100000100000
31121012101220200002001211122
42301203010101122200200
53044400122001120000
641541021222031412
72366331104002511
oct261430421324040
947171820061748
1012201000020000
113984462482910
121450776278568
136a671ac5506c
14302762814a08
1516259907c085
hexb18c445a820

12201000020000 has 240 divisors, whose sum is σ = 33045522048000. Its totient is φ = 4396014720000.

The previous prime is 12201000019987. The next prime is 12201000020173. The reversal of 12201000020000 is 2000010221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12201000020000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23725601 + ... + 24234399.

It is an arithmetic number, because the mean of its divisors is an integer number (137689675200).

Almost surely, 212201000020000 is an apocalyptic number.

12201000020000 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 12201000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522761024000).

12201000020000 is an abundant number, since it is smaller than the sum of its proper divisors (20844522028000).

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

12201000020000 is a wasteful number, since it uses less digits than its factorization.

12201000020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508949 (or 508926 counting only the distinct ones).

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

Adding to 12201000020000 its reverse (2000010221), we get a palindrome (12203000030221).

The spelling of 12201000020000 in words is "twelve trillion, two hundred one billion, twenty thousand".