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11121201201012 = 2237352249375857
BaseRepresentation
bin1010000111010101101100…
…1111110011111101110100
31110101011202122002121211020
42201311123033303331310
52424202210001413022
635353002001541140
72225323506325440
oct241653317637564
943334678077736
1011121201201012
1135a8525170141
1212b74439447b0
13628956433446
142a63aa241820
1514444bd3635c
hexa1d5b3f3f74

11121201201012 has 48 divisors (see below), whose sum is σ = 29656699632000. Its totient is φ = 3177468582912.

The previous prime is 11121201200999. The next prime is 11121201201017. The reversal of 11121201201012 is 21010210212111.

It is a happy number.

It is a super-2 number, since 2×111212012010122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11121201200982 and 11121201201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121201201017) 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, 29400988 + ... + 29776844.

It is an arithmetic number, because the mean of its divisors is an integer number (617847909000).

Almost surely, 211121201201012 is an apocalyptic number.

11121201201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11121201201012 is an abundant number, since it is smaller than the sum of its proper divisors (18535498430988).

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

11121201201012 is a wasteful number, since it uses less digits than its factorization.

11121201201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728120 (or 728118 counting only the distinct ones).

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

Adding to 11121201201012 its reverse (21010210212111), we get a palindrome (32131411413123).

It can be divided in two parts, 1112120 and 1201012, that added together give a palindrome (2313132).

The spelling of 11121201201012 in words is "eleven trillion, one hundred twenty-one billion, two hundred one million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 352249 375857 704498 751714 1056747 1127571 1408996 1503428 2113494 2255142 2465743 2630999 4226988 4510284 4931486 5261998 7397229 7892997 9862972 10523996 14794458 15785994 29588916 31571988 132395252393 264790504786 397185757179 529581009572 794371514358 926766766751 1588743028716 1853533533502 2780300300253 3707067067004 5560600600506 11121201201012