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11220212120 = 2351319259771
BaseRepresentation
bin10100111001100011…
…01101100110011000
31001221221210211110212
422130301231212120
5140434333241440
65053212030252
7545022141455
oct123461554630
931857724425
1011220212120
114838576487
122211762388
13109a73a790
1478623482c
1545a08c465
hex29cc6d998

11220212120 has 96 divisors (see below), whose sum is σ = 28694146320. Its totient is φ = 3924737280.

The previous prime is 11220212117. The next prime is 11220212123. The reversal of 11220212120 is 2121202211.

11220212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11220212117) and next prime (11220212123).

It is a junction number, because it is equal to n+sod(n) for n = 11220212095 and 11220212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220212123) 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 23 ways as a sum of consecutive naturals, for example, 157835 + ... + 217605.

Almost surely, 211220212120 is an apocalyptic number.

11220212120 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 11220212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14347073160).

11220212120 is an abundant number, since it is smaller than the sum of its proper divisors (17473934200).

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

11220212120 is a wasteful number, since it uses less digits than its factorization.

11220212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59833 (or 59810 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11220212120 its reverse (2121202211), we get a palindrome (13341414331).

Subtracting from 11220212120 its reverse (2121202211), we obtain a palindrome (9099009909).

The spelling of 11220212120 in words is "eleven billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 361 380 494 520 722 760 988 1235 1444 1805 1976 2470 2888 3610 4693 4940 7220 9386 9880 14440 18772 23465 37544 46930 59771 93860 119542 187720 239084 298855 478168 597710 777023 1135649 1195420 1554046 2271298 2390840 3108092 3885115 4542596 5678245 6216184 7770230 9085192 11356490 14763437 15540460 21577331 22712980 29526874 31080920 43154662 45425960 59053748 73817185 86309324 107886655 118107496 147634370 172618648 215773310 280505303 295268740 431546620 561010606 590537480 863093240 1122021212 1402526515 2244042424 2805053030 5610106060 11220212120