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11220221212112 = 24112947109342793
BaseRepresentation
bin1010001101000110100101…
…0011001011010111010000
31110201122100111201101000202
42203101221103023113100
52432313003112241422
635510255400234332
72235430353456443
oct243215123132720
943648314641022
1011220221212112
113636518400060
12131267946b9a8
136350a6bc11a3
142ab0c108365a
15146ce4ee3b92
hexa34694cb5d0

11220221212112 has 160 divisors (see below), whose sum is σ = 25078735572480. Its totient is φ = 4814942146560.

The previous prime is 11220221212093. The next prime is 11220221212133. The reversal of 11220221212112 is 21121212202211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262176188 + ... + 262218980.

It is an arithmetic number, because the mean of its divisors is an integer number (156742097328).

Almost surely, 211220221212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220221212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539367786240).

11220221212112 is an abundant number, since it is smaller than the sum of its proper divisors (13858514360368).

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

11220221212112 is a wasteful number, since it uses less digits than its factorization.

11220221212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43981 (or 43975 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11220221212112 its reverse (21121212202211), we get a palindrome (32341433414323).

Subtracting 11220221212112 from its reverse (21121212202211), we obtain a palindrome (9900990990099).

The spelling of 11220221212112 in words is "eleven trillion, two hundred twenty billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 44 47 58 88 94 116 176 188 232 319 376 464 517 638 752 1034 1093 1276 1363 2068 2186 2552 2726 4136 4372 5104 5452 8272 8744 10904 12023 14993 17488 21808 24046 29986 31697 42793 48092 51371 59972 63394 85586 96184 102742 119944 126788 171172 192368 205484 239888 253576 342344 348667 410968 470723 507152 565081 684688 697334 821936 941446 1130162 1240997 1394668 1489759 1882892 2011271 2260324 2481994 2789336 2979518 3765784 4022542 4520648 4963988 5578672 5959036 7531568 8045084 9041296 9927976 11918072 13650967 16090168 16387349 19855952 22123981 23836144 27301934 32180336 32774698 44247962 46772749 54603868 58326859 65549396 88495924 93545498 109207736 116653718 131098792 176991848 187090996 218415472 233307436 262197584 353983696 374181992 466614872 514500239 641595449 748363984 933229744 1029000478 1283190898 1356409721 2058000956 2198319203 2566381796 2712819442 4116001912 4396638406 5132763592 5425638884 8232003824 8793276812 10265527184 10851277768 14920506931 17586553624 21702555536 24181511233 29841013862 35173107248 48363022466 59682027724 63751256887 96726044932 119364055448 127502513774 193452089864 238728110896 255005027548 386904179728 510010055096 701263825757 1020020110192 1402527651514 2805055303028 5610110606056 11220221212112