Search a number
-
+
12200221200000 = 2735523219219
BaseRepresentation
bin1011000110001001010111…
…0110011100111010000000
31121012022220101120220122110
42301202111312130322000
53044342023111400000
641540412041135320
72366302566101331
oct261422566347200
947168811526573
1012200221200000
1139840a2898919
12145059948a540
136a66257a9722
143026cb200288
151625509da850
hexb1895d9ce80

12200221200000 has 576 divisors, whose sum is σ = 42345856879200. Its totient is φ = 3111778560000.

The previous prime is 12200221199987. The next prime is 12200221200001. The reversal of 12200221200000 is 212200221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12200221200001) 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, 634790391 + ... + 634809609.

Almost surely, 212200221200000 is an apocalyptic number.

12200221200000 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 12200221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21172928439600).

12200221200000 is an abundant number, since it is smaller than the sum of its proper divisors (30145635679200).

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

12200221200000 is an frugal number, since it uses more digits than its factorization.

12200221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19307 (or 19252 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12200221200000 its reverse (212200221), we get a palindrome (12200433400221).

The spelling of 12200221200000 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, two hundred thousand".