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12010201112112 = 243782934310219
BaseRepresentation
bin1010111011000101011111…
…0001010101111000110000
31120112011102120021021212120
42232301113301111320300
53033233342441041422
641313224335154240
72346464660023110
oct256612761257060
946464376237776
1012010201112112
113910552471375
12141b7a8075980
13691731c635b8
142d7422733040
1515c62d7a745c
hexaec57c55e30

12010201112112 has 80 divisors (see below), whose sum is σ = 35462972962560. Its totient is φ = 3431071454976.

The previous prime is 12010201112111. The next prime is 12010201112113. The reversal of 12010201112112 is 21121110201021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12010201112111) and next prime (12010201112113).

It is a junction number, because it is equal to n+sod(n) for n = 12010201112091 and 12010201112100.

It is not an unprimeable number, because it can be changed into a prime (12010201112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631339 + ... + 4941557.

It is an arithmetic number, because the mean of its divisors is an integer number (443287162032).

Almost surely, 212010201112112 is an apocalyptic number.

12010201112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12010201112112 is an abundant number, since it is smaller than the sum of its proper divisors (23452771850448).

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

12010201112112 is a wasteful number, since it uses less digits than its factorization.

12010201112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318530 (or 4318524 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12010201112112 its reverse (21121110201021), we get a palindrome (33131311313133).

It can be divided in two parts, 1201020 and 1112112, that added together give a palindrome (2313132).

The spelling of 12010201112112 in words is "twelve trillion, ten billion, two hundred one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 8293 16586 24879 33172 49758 58051 66344 99516 116102 132688 174153 199032 232204 348306 398064 464408 696612 928816 1393224 2786448 4310219 8620438 12930657 17240876 25861314 30171533 34481752 51722628 60343066 68963504 90514599 103445256 120686132 181029198 206890512 241372264 362058396 482744528 724116792 1448233584 35744646167 71489292334 107233938501 142978584668 214467877002 250212523169 285957169336 428935754004 500425046338 571914338672 750637569507 857871508008 1000850092676 1501275139014 1715743016016 2001700185352 3002550278028 4003400370704 6005100556056 12010201112112