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12121112011112 = 23131109105093917
BaseRepresentation
bin1011000001100010101010…
…0100110110000101101000
31120220202201010200201202122
42300120222210312011220
53042043014133323422
641440210104450412
72360502312064556
oct260305244660550
946822633621678
1012121112011112
113953597808375
12143919ba79a08
1369c0290a19a0
142dc9448acbd6
15160470830d42
hexb062a936168

12121112011112 has 32 divisors (see below), whose sum is σ = 24497392285800. Its totient is φ = 5589314828544.

The previous prime is 12121112011103. The next prime is 12121112011133. The reversal of 12121112011112 is 21111021112121.

It can be written as a sum of positive squares in 4 ways, for example, as 3521755169956 + 8599356841156 = 1876634^2 + 2932466^2 .

It is a super-2 number, since 2×121211120111122 (a number of 27 digits) contains 22 as substring.

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, 52431623 + ... + 52662294.

Almost surely, 212121112011112 is an apocalyptic number.

It is an amenable number.

12121112011112 is an abundant number, since it is smaller than the sum of its proper divisors (12376280274688).

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

12121112011112 is a wasteful number, since it uses less digits than its factorization.

12121112011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105095045 (or 105095041 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 12121112011112 its reverse (21111021112121), we get a palindrome (33232133123233).

It can be divided in two parts, 1212111 and 2011112, that added together give a palindrome (3223223).

The spelling of 12121112011112 in words is "twelve trillion, one hundred twenty-one billion, one hundred twelve million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 1109 2218 4436 8872 14417 28834 57668 115336 105093917 210187834 420375668 840751336 1366220921 2732441842 5464883684 10929767368 116549153953 233098307906 466196615812 932393231624 1515139001389 3030278002778 6060556005556 12121112011112