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11120020121112 = 2337331347576287
BaseRepresentation
bin1010000111010001010011…
…0110010110011000011000
31110101001201022200112210020
42201310110312112120120
52424142300122333422
635352244451150440
72225252315321010
oct241642466263030
943331638615706
1011120020121112
1135a7a79507351
1212b71742a5420
136287c88349b6
142a62d7438c40
151443cd2d695c
hexa1d14d96618

11120020121112 has 128 divisors (see below), whose sum is σ = 31959364976640. Its totient is φ = 3158416103040.

The previous prime is 11120020121107. The next prime is 11120020121167. The reversal of 11120020121112 is 21112102002111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11120020121091 and 11120020121100.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19007833 + ... + 19584119.

It is an arithmetic number, because the mean of its divisors is an integer number (249682538880).

Almost surely, 211120020121112 is an apocalyptic number.

11120020121112 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 11120020121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15979682488320).

11120020121112 is an abundant number, since it is smaller than the sum of its proper divisors (20839344855528).

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

11120020121112 is a wasteful number, since it uses less digits than its factorization.

11120020121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576981 (or 576977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11120020121112 its reverse (21112102002111), we get a palindrome (32232122123223).

The spelling of 11120020121112 in words is "eleven trillion, one hundred twenty billion, twenty million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 331 347 662 694 993 1041 1324 1388 1986 2082 2317 2429 2648 2776 3972 4164 4634 4858 6951 7287 7944 8328 9268 9716 13902 14574 18536 19432 27804 29148 55608 58296 114857 229714 344571 459428 576287 689142 803999 918856 1152574 1378284 1607998 1728861 2305148 2411997 2756568 3215996 3457722 4034009 4610296 4823994 6431992 6915444 8068018 9647988 12102027 13830888 16136036 19295976 24204054 32272072 48408108 96816216 190750997 199971589 381501994 399943178 572252991 599914767 763003988 799886356 1144505982 1199829534 1335256979 1399801123 1526007976 1599772712 2289011964 2399659068 2670513958 2799602246 4005770937 4199403369 4578023928 4799318136 5341027916 5599204492 8011541874 8398806738 10682055832 11198408984 16023083748 16797613476 32046167496 33595226952 66190595959 132381191918 198571787877 264762383836 397143575754 463334171713 529524767672 794287151508 926668343426 1390002515139 1588574303016 1853336686852 2780005030278 3706673373704 5560010060556 11120020121112