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12200200100220 = 223511294877130699
BaseRepresentation
bin1011000110001001010010…
…0101111101100101111100
31121012022211220212221012010
42301202110211331211330
53044342002211201340
641540410005011220
72366302221542046
oct261422445754574
947168756787163
1012200200100220
113984091997290
1214505923b3b10
136a66212cc852
143026c84aaa96
1516254dc1db80
hexb189497d97c

12200200100220 has 192 divisors, whose sum is σ = 38559302208000. Its totient is φ = 2855029847040.

The previous prime is 12200200100189. The next prime is 12200200100243. The reversal of 12200200100220 is 2200100200221.

It is a super-3 number, since 3×122002001002203 (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12200200100196 and 12200200100205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93280431 + ... + 93411129.

It is an arithmetic number, because the mean of its divisors is an integer number (200829699000).

Almost surely, 212200200100220 is an apocalyptic number.

12200200100220 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 12200200100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19279651104000).

12200200100220 is an abundant number, since it is smaller than the sum of its proper divisors (26359102107780).

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

12200200100220 is a wasteful number, since it uses less digits than its factorization.

12200200100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135628 (or 135626 counting only the distinct ones).

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

Adding to 12200200100220 its reverse (2200100200221), we get a palindrome (14400300300441).

The spelling of 12200200100220 in words is "twelve trillion, two hundred billion, two hundred million, one hundred thousand, two hundred twenty".