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12200100220 = 225711233141271
BaseRepresentation
bin10110101110010111…
…01100000101111100
31011111020122022020201
423113023230011330
5144441211201340
65334334253244
7611221066210
oct132713540574
934436568221
1012200100220
1151a0702960
122445957224
1311c5755619
1483a428940
154b60e979a
hex2d72ec17c

12200100220 has 384 divisors, whose sum is σ = 35375284224. Its totient is φ = 3421440000.

The previous prime is 12200100193. The next prime is 12200100259. The reversal of 12200100220 is 2200100221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12200100197 and 12200100206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45018685 + ... + 45018955.

It is an arithmetic number, because the mean of its divisors is an integer number (92123136).

Almost surely, 212200100220 is an apocalyptic number.

12200100220 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 12200100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17687642112).

12200100220 is an abundant number, since it is smaller than the sum of its proper divisors (23175184004).

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

12200100220 is a wasteful number, since it uses less digits than its factorization.

12200100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12200100220 its reverse (2200100221), we get a palindrome (14400200441).

Subtracting from 12200100220 its reverse (2200100221), we obtain a palindrome (9999999999).

The spelling of 12200100220 in words is "twelve billion, two hundred million, one hundred thousand, two hundred twenty".