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12012011210112 = 27371943506647
BaseRepresentation
bin1010111011001100001110…
…1010010100010110000000
31120112100002201021210112020
42232303003222110112000
53033301044332210422
641314124120001440
72346560556425544
oct256630352242600
946470081253466
1012012011210112
1139112a11a2831
121420012300280
1369195cc7a9c4
142d7554cb7a24
1515c6d765795c
hexaecc3a94580

12012011210112 has 64 divisors (see below), whose sum is σ = 31951282291200. Its totient is φ = 3998434793984.

The previous prime is 12012011210071. The next prime is 12012011210131. The reversal of 12012011210112 is 21101211021021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×120120112101122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12012011210091 and 12012011210100.

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 7 ways as a sum of consecutive naturals, for example, 21477228 + ... + 22029419.

It is an arithmetic number, because the mean of its divisors is an integer number (499238785800).

Almost surely, 212012011210112 is an apocalyptic number.

12012011210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12012011210112 is an abundant number, since it is smaller than the sum of its proper divisors (19939271081088).

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

12012011210112 is an equidigital number, since it uses as much as digits as its factorization.

12012011210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43507383 (or 43507371 counting only the distinct ones).

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

Adding to 12012011210112 its reverse (21101211021021), we get a palindrome (33113222231133).

The spelling of 12012011210112 in words is "twelve trillion, twelve billion, eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 719 1438 2157 2876 4314 5752 8628 11504 17256 23008 34512 46016 69024 92032 138048 276096 43506647 87013294 130519941 174026588 261039882 348053176 522079764 696106352 1044159528 1392212704 2088319056 2784425408 4176638112 5568850816 8353276224 16706552448 31281279193 62562558386 93843837579 125125116772 187687675158 250250233544 375375350316 500500467088 750750700632 1001000934176 1501501401264 2002001868352 3003002802528 4004003736704 6006005605056 12012011210112