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11120022012 = 223111792831663
BaseRepresentation
bin10100101101100111…
…00001000111111100
31001200222021122111010
422112303201013330
5140233211201022
65035232355220
7542364425151
oct122663410774
931628248433
1011120022012
114796a65140
1221a40a5b10
131082a5b5a8
14776bd4228
1545139b50c
hex296ce11fc

11120022012 has 96 divisors (see below), whose sum is σ = 28581396480. Its totient is φ = 3337030080.

The previous prime is 11120021999. The next prime is 11120022013. The reversal of 11120022012 is 21022002111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120022013) 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, 6685893 + ... + 6687555.

It is an arithmetic number, because the mean of its divisors is an integer number (297722880).

Almost surely, 211120022012 is an apocalyptic number.

11120022012 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 11120022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14290698240).

11120022012 is an abundant number, since it is smaller than the sum of its proper divisors (17461374468).

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

11120022012 is a wasteful number, since it uses less digits than its factorization.

11120022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2141 counting only the distinct ones).

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

Adding to 11120022012 its reverse (21022002111), we get a palindrome (32142024123).

The spelling of 11120022012 in words is "eleven billion, one hundred twenty million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 179 283 358 537 566 716 849 1074 1132 1663 1698 1969 2148 3113 3326 3396 3938 4989 5907 6226 6652 7876 9339 9978 11814 12452 18293 18678 19956 23628 36586 37356 50657 54879 73172 101314 109758 151971 202628 219516 297677 303942 470629 557227 595354 607884 893031 941258 1114454 1190708 1411887 1671681 1786062 1882516 2228908 2823774 3274447 3343362 3572124 5176919 5647548 6548894 6686724 9823341 10353838 13097788 15530757 19646682 20707676 31061514 39293364 62123028 84242591 168485182 252727773 336970364 505455546 926668501 1010911092 1853337002 2780005503 3706674004 5560011006 11120022012