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11220120131220 = 223457111322918353
BaseRepresentation
bin1010001101000110001101…
…0001100101011010010100
31110201122002110111221010000
42203101203101211122110
52432312301223144340
635510241345531300
72235425015343120
oct243214321453224
943648073457100
1011220120131220
113636476340530
12131264b643b30
1363508bc8c700
142ab0b1890580
15146cdb1c8d30
hexa3463465694

11220120131220 has 1440 divisors, whose sum is σ = 49159670757120. Its totient is φ = 2077787013120.

The previous prime is 11220120131189. The next prime is 11220120131239. The reversal of 11220120131220 is 2213102102211.

11220120131220 is a `hidden beast` number, since 1 + 12 + 201 + 201 + 31 + 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 = 11220120131193 and 11220120131202.

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 479 ways as a sum of consecutive naturals, for example, 611341564 + ... + 611359916.

It is an arithmetic number, because the mean of its divisors is an integer number (34138660248).

Almost surely, 211220120131220 is an apocalyptic number.

11220120131220 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 11220120131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579835378560).

11220120131220 is an abundant number, since it is smaller than the sum of its proper divisors (37939550625900).

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

11220120131220 is a wasteful number, since it uses less digits than its factorization.

11220120131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18447 (or 18423 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11220120131220 its reverse (2213102102211), we get a palindrome (13433222233431).

The spelling of 11220120131220 in words is "eleven trillion, two hundred twenty billion, one hundred twenty million, one hundred thirty-one thousand, two hundred twenty".