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11220100122220 = 225111931101857309
BaseRepresentation
bin1010001101000110001000…
…0101010000011001101100
31110201122001001212100220221
42203101202011100121230
52432312231112402340
635510235353021124
72235424353305623
oct243214205203154
943648031770827
1011220100122220
113636466014470
1213126449b47a4
13635087aa5172
142ab0acd626ba
15146cd957544a
hexa346215066c

11220100122220 has 192 divisors, whose sum is σ = 28206459187200. Its totient is φ = 3703570560000.

The previous prime is 11220100122169. The next prime is 11220100122227. The reversal of 11220100122220 is 2222100102211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11220100122194 and 11220100122203.

It is not an unprimeable number, because it can be changed into a prime (11220100122227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12658926 + ... + 13516234.

It is an arithmetic number, because the mean of its divisors is an integer number (146908641600).

Almost surely, 211220100122220 is an apocalyptic number.

11220100122220 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 11220100122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103229593600).

11220100122220 is an abundant number, since it is smaller than the sum of its proper divisors (16986359064980).

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

11220100122220 is a wasteful number, since it uses less digits than its factorization.

11220100122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857480 (or 857478 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11220100122220 its reverse (2222100102211), we get a palindrome (13442200224431).

The spelling of 11220100122220 in words is "eleven trillion, two hundred twenty billion, one hundred million, one hundred twenty-two thousand, two hundred twenty".