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12002112002112 = 26362511000011
BaseRepresentation
bin1010111010100111010110…
…0111110101100001000000
31120111101112211011221000220
42232221311213311201000
53033120311133031422
641305405533343040
72346060344515041
oct256516547654100
946441484157026
1012002112002112
1139080813702a1
12141a10b037a80
13690a4312068b
142d6c962b08c8
1515c308558e5c
hexaea759f5840

12002112002112 has 28 divisors (see below), whose sum is σ = 31755588006096. Its totient is φ = 4000704000640.

The previous prime is 12002112002107. The next prime is 12002112002173. The reversal of 12002112002112 is 21120021120021.

12002112002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120021120021122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12002112002091 and 12002112002100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31255499814 + ... + 31255500197.

Almost surely, 212002112002112 is an apocalyptic number.

12002112002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002112002112 is an abundant number, since it is smaller than the sum of its proper divisors (19753476003984).

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

12002112002112 is an equidigital number, since it uses as much as digits as its factorization.

12002112002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62511000026 (or 62511000016 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12002112002112 its reverse (21120021120021), we get a palindrome (33122133122133).

The spelling of 12002112002112 in words is "twelve trillion, two billion, one hundred twelve million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 62511000011 125022000022 187533000033 250044000044 375066000066 500088000088 750132000132 1000176000176 1500264000264 2000352000352 3000528000528 4000704000704 6001056001056 12002112002112