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12221022200220 = 223351131247316057
BaseRepresentation
bin1011000111010110110110…
…1011111110000110011100
31121021022121001100012122000
42301311231223332012130
53100212123140401340
641554132102522300
72400640215506001
oct261655553760634
947238531305560
1012221022200220
1139919a7481199
121454623736390
136a858c0c7592
14303701a318a8
15162d6bc29d30
hexb1d6dafe19c

12221022200220 has 192 divisors, whose sum is σ = 38362890867840. Its totient is φ = 3229638967296.

The previous prime is 12221022200129. The next prime is 12221022200267. The reversal of 12221022200220 is 2200222012221.

12221022200220 is a `hidden beast` number, since 1 + 2 + 221 + 0 + 2 + 220 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12221022200193 and 12221022200202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761094432 + ... + 761110488.

It is an arithmetic number, because the mean of its divisors is an integer number (199806723270).

Almost surely, 212221022200220 is an apocalyptic number.

12221022200220 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 12221022200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19181445433920).

12221022200220 is an abundant number, since it is smaller than the sum of its proper divisors (26141868667620).

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

12221022200220 is a wasteful number, since it uses less digits than its factorization.

12221022200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28661 (or 28653 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12221022200220 its reverse (2200222012221), we get a palindrome (14421244212441).

The spelling of 12221022200220 in words is "twelve trillion, two hundred twenty-one billion, twenty-two million, two hundred thousand, two hundred twenty".