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11220021000012 = 22311617103196177
BaseRepresentation
bin1010001101000101110101…
…0111011011011101001100
31110201121211112222112122210
42203101131113123131030
52432312100334000022
635510223445110420
72235422402626626
oct243213527333514
943647745875583
1011220021000012
113636425392810
1213126223b8410
136350745914a6
142ab0a2647c16
15146cd2646a0c
hexa345d5db74c

11220021000012 has 96 divisors (see below), whose sum is σ = 29032485801984. Its totient is φ = 3343780684800.

The previous prime is 11220021000011. The next prime is 11220021000017. The reversal of 11220021000012 is 21000012002211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11220021000011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57095268 + ... + 57291444.

It is an arithmetic number, because the mean of its divisors is an integer number (302421727104).

Almost surely, 211220021000012 is an apocalyptic number.

11220021000012 is a gapful number since it is divisible by the number (12) 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 11220021000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14516242900992).

11220021000012 is an abundant number, since it is smaller than the sum of its proper divisors (17812464801972).

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

11220021000012 is a wasteful number, since it uses less digits than its factorization.

11220021000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203359 (or 203357 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11220021000012 its reverse (21000012002211), we get a palindrome (32220033002223).

The spelling of 11220021000012 in words is "eleven trillion, two hundred twenty billion, twenty-one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 7103 8052 14206 21309 28412 42618 78133 85236 156266 196177 234399 312532 392354 433283 468798 588531 784708 866566 937596 1177062 1299849 1733132 2157947 2354124 2599698 4315894 4766113 5199396 6473841 8631788 9532226 11966797 12947682 14298339 19064452 23933594 25895364 28596678 35900391 47867188 57193356 71800782 131634767 143601564 263269534 394904301 526539068 789808602 1393445231 1579617204 2786890462 4180335693 5573780924 8360671386 15327897541 16721342772 30655795082 45983692623 61311590164 85000159091 91967385246 170000318182 183934770492 255000477273 340000636364 510000954546 935001750001 1020001909092 1870003500002 2805005250003 3740007000004 5610010500006 11220021000012