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2112000000012 = 2232753158131177
BaseRepresentation
bin11110101110111101000…
…000101000000000001100
321110220102220121100120200
4132232331000220000030
5234100334000000022
64254123413413500
7305405220540240
oct36567500500014
97426386540520
102112000000012
1174476aa38571
122a13a063a290
13124212208626
147431552c420
1539e10987bac
hex1ebbd02800c

2112000000012 has 72 divisors (see below), whose sum is σ = 6216452869536. Its totient is φ = 592043122944.

The previous prime is 2111999999987. The next prime is 2112000000113. The reversal of 2112000000012 is 2100000002112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2111999999940 and 2112000000003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79052233 + ... + 79078944.

It is an arithmetic number, because the mean of its divisors is an integer number (86339623188).

Almost surely, 22112000000012 is an apocalyptic number.

It is an amenable number.

2112000000012 is an abundant number, since it is smaller than the sum of its proper divisors (4104452869524).

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

2112000000012 is a wasteful number, since it uses less digits than its factorization.

2112000000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158131247 (or 158131242 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2112000000012 its reverse (2100000002112), we get a palindrome (4212000002124).

It can be divided in two parts, 21 and 12000000012, that multiplied together give a palindrome (252000000252).

The spelling of 2112000000012 in words is "two trillion, one hundred twelve billion, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 13356 158131177 316262354 474393531 632524708 948787062 1106918239 1423180593 1897574124 2213836478 2846361186 3320754717 4427672956 5692722372 6641509434 8380952381 9962264151 13283018868 16761904762 19924528302 25142857143 33523809524 39849056604 50285714286 58666666667 75428571429 100571428572 117333333334 150857142858 176000000001 234666666668 301714285716 352000000002 528000000003 704000000004 1056000000006 2112000000012