Search a number
-
+
12121002012112 = 2473710128959923
BaseRepresentation
bin1011000001100010010000…
…0001001110110111010000
31120220202102110201012111121
42300120210001032313100
53042042303003341422
641440151135052024
72360466505106020
oct260304401166720
946822373635447
1012121002012112
113953540707504
12143916b071014
1369c00c369c16
142dc934037a80
15160465d538c7
hexb062404edd0

12121002012112 has 80 divisors (see below), whose sum is σ = 27837669025152. Its totient is φ = 5004274521600.

The previous prime is 12121002012107. The next prime is 12121002012121. The reversal of 12121002012112 is 21121020012121.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14061418 + ... + 14898505.

Almost surely, 212121002012112 is an apocalyptic number.

It is an amenable number.

12121002012112 is an abundant number, since it is smaller than the sum of its proper divisors (15716667013040).

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

12121002012112 is a wasteful number, since it uses less digits than its factorization.

12121002012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28960076 (or 28960070 counting only the distinct ones).

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

Adding to 12121002012112 its reverse (21121020012121), we get a palindrome (33242022024233).

Subtracting 12121002012112 from its reverse (21121020012121), we obtain a square (9000018000009 = 30000032).

The spelling of 12121002012112 in words is "twelve trillion, one hundred twenty-one billion, two million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 101 112 148 202 259 296 404 518 592 707 808 1036 1414 1616 2072 2828 3737 4144 5656 7474 11312 14948 26159 29896 52318 59792 104636 209272 418544 28959923 57919846 115839692 202719461 231679384 405438922 463358768 810877844 1071517151 1621755688 2143034302 2924952223 3243511376 4286068604 5849904446 7500620057 8572137208 11699808892 15001240114 17144274416 20474665561 23399617784 30002480228 40949331122 46799235568 60004960456 81898662244 108223232251 120009920912 163797324488 216446464502 327594648976 432892929004 757562625757 865785858008 1515125251514 1731571716016 3030250503028 6060501006056 12121002012112