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11212021212 = 2237412271293
BaseRepresentation
bin10100111000100100…
…11101110111011100
31001221101101200122220
422130102131313130
5140430234134322
65052320305340
7544562415330
oct123422356734
931841350586
1011212021212
114833991537
12220aa72250
131098b304a2
147851017c0
154594c055c
hex29c49dddc

11212021212 has 144 divisors (see below), whose sum is σ = 30863809536. Its totient is φ = 3103142400.

The previous prime is 11212021207. The next prime is 11212021213. The reversal of 11212021212 is 21212021211.

It is a junction number, because it is equal to n+sod(n) for n = 11212021191 and 11212021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212021213) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 38266138 + ... + 38266430.

Almost surely, 211212021212 is an apocalyptic number.

11212021212 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 11212021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15431904768).

11212021212 is an abundant number, since it is smaller than the sum of its proper divisors (19651788324).

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

11212021212 is a wasteful number, since it uses less digits than its factorization.

11212021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11212021212 its reverse (21212021211), we get a palindrome (32424042423).

Subtracting 11212021212 from its reverse (21212021211), we obtain a palindrome (9999999999).

The spelling of 11212021212 in words is "eleven billion, two hundred twelve million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 271 287 293 492 542 574 586 813 861 879 1084 1148 1172 1626 1681 1722 1758 1897 2051 3252 3362 3444 3516 3794 4102 5043 5691 6153 6724 7588 8204 10086 11111 11382 11767 12013 12306 20172 22222 22764 23534 24026 24612 33333 35301 36039 44444 47068 48052 66666 70602 72078 77777 79403 84091 133332 141204 144156 155554 158806 168182 233331 238209 252273 311108 317612 336364 455551 466662 476418 492533 504546 555821 911102 933324 952836 985066 1009092 1111642 1366653 1477599 1667463 1822204 1970132 2223284 2733306 2955198 3188857 3255523 3334926 3447731 5466612 5910396 6377714 6511046 6669852 6895462 9566571 9766569 10343193 12755428 13022092 13790924 19133142 19533138 20686386 22788661 38266284 39066276 41372772 45577322 68365983 91154644 133476443 136731966 266952886 273463932 400429329 533905772 800858658 934335101 1601717316 1868670202 2803005303 3737340404 5606010606 11212021212