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12002102120112 = 2431347409236979
BaseRepresentation
bin1010111010100111010100…
…0010001000111010110000
31120111101112010120212110220
42232221311002020322300
53033120301120320422
641305404541453040
72346060164516406
oct256516502107260
946441463525426
1012002102120112
113908076830855
12141a107871180
13690a41070740
142d6c94c5b476
1515c307755e5c
hexaea75088eb0

12002102120112 has 80 divisors (see below), whose sum is σ = 34100899069440. Its totient is φ = 3614380989696.

The previous prime is 12002102120053. The next prime is 12002102120153. The reversal of 12002102120112 is 21102120120021.

It is a junction number, because it is equal to n+sod(n) for n = 12002102120091 and 12002102120100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204589162 + ... + 204647817.

It is an arithmetic number, because the mean of its divisors is an integer number (426261238368).

Almost surely, 212002102120112 is an apocalyptic number.

12002102120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002102120112 is an abundant number, since it is smaller than the sum of its proper divisors (22098796949328).

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

12002102120112 is a wasteful number, since it uses less digits than its factorization.

12002102120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409237050 (or 409237044 counting only the distinct ones).

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

Adding to 12002102120112 its reverse (21102120120021), we get a palindrome (33104222240133).

The spelling of 12002102120112 in words is "twelve trillion, two billion, one hundred two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 752 1128 1222 1833 2256 2444 3666 4888 7332 9776 14664 29328 409236979 818473958 1227710937 1636947916 2455421874 3273895832 4910843748 5320080727 6547791664 9821687496 10640161454 15960242181 19234138013 19643374992 21280322908 31920484362 38468276026 42560645816 57702414039 63840968724 76936552052 85121291632 115404828078 127681937448 153873104104 230809656156 250043794169 255363874896 307746208208 461619312312 500087588338 750131382507 923238624624 1000175176676 1500262765014 2000350353352 3000525530028 4000700706704 6001051060056 12002102120112