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11121111111012 = 2237235756268691
BaseRepresentation
bin1010000111010101010111…
…1000001001010101100100
31110101011112100120120120120
42201311111320021111210
52424202013421023022
635352545023001540
72225321333506410
oct241652570112544
943334470516516
1011121111111012
1135a84893281a1
1212b74197392b0
1362894087c556
142a639c2add40
15144443e8cd5c
hexa1d55e09564

11121111111012 has 48 divisors (see below), whose sum is σ = 30945700488192. Its totient is φ = 3039309868320.

The previous prime is 11121111110911. The next prime is 11121111111017. The reversal of 11121111111012 is 21011111112111.

It is a happy number.

It is a super-2 number, since 2×111211111110122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11121111110982 and 11121111111000.

It is not an unprimeable number, because it can be changed into a prime (11121111111017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2878132414 + ... + 2878136277.

It is an arithmetic number, because the mean of its divisors is an integer number (644702093504).

Almost surely, 211121111111012 is an apocalyptic number.

11121111111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11121111111012 is an abundant number, since it is smaller than the sum of its proper divisors (19824589377180).

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

11121111111012 is a wasteful number, since it uses less digits than its factorization.

11121111111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5756268728 (or 5756268726 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 11121111111012 its reverse (21011111112111), we get a palindrome (32132222223123).

The spelling of 11121111111012 in words is "eleven trillion, one hundred twenty-one billion, one hundred eleven million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 5756268691 11512537382 17268806073 23025074764 34537612146 40293880837 69075224292 80587761674 120881642511 132394179893 161175523348 241763285022 264788359786 397182539679 483526570044 529576719572 794365079358 926759259251 1588730158716 1853518518502 2780277777753 3707037037004 5560555555506 11121111111012