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12102112002112 = 261134949256447
BaseRepresentation
bin1011000000011011111000…
…0101100100000001000000
31120211221122222211021021121
42300012332011210001000
53041240111133031422
641423344500402024
72356230421503406
oct260067605440100
946757588737247
1012102112002112
1139465277a63a0
1214355789a6314
1369a2bb930102
142dba61331476
1515ec0c7938c7
hexb01be164040

12102112002112 has 56 divisors (see below), whose sum is σ = 26273389363200. Its totient is φ = 5485197826560.

The previous prime is 12102112002067. The next prime is 12102112002143. The reversal of 12102112002112 is 21120021120121.

It is a super-2 number, since 2×121021120021122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24382528 + ... + 24873919.

It is an arithmetic number, because the mean of its divisors is an integer number (469167667200).

Almost surely, 212102112002112 is an apocalyptic number.

It is an amenable number.

12102112002112 is an abundant number, since it is smaller than the sum of its proper divisors (14171277361088).

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

12102112002112 is a wasteful number, since it uses less digits than its factorization.

12102112002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49256819 (or 49256809 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12102112002112 its reverse (21120021120121), we get a palindrome (33222133122233).

The spelling of 12102112002112 in words is "twelve trillion, one hundred two billion, one hundred twelve million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 349 352 698 704 1396 2792 3839 5584 7678 11168 15356 22336 30712 61424 122848 245696 49256447 98512894 197025788 394051576 541820917 788103152 1083641834 1576206304 2167283668 3152412608 4334567336 8669134672 17190500003 17338269344 34381000006 34676538688 68762000012 137524000024 189095500033 275048000048 378191000066 550096000096 756382000132 1100192000192 1512764000264 3025528000528 6051056001056 12102112002112