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12000331110042 = 23211977130347609
BaseRepresentation
bin1010111010100000101101…
…1110010001011010011010
31120111012221201010020101100
42232220023132101122122
53033103134231010132
641304513114532230
72345665251262632
oct256501336213232
946435851106340
1012000331110042
113907348077770
1214198b2737076
1369081b1909a2
142d6b6796d6c2
1515c25202737c
hexaea0b79169a

12000331110042 has 96 divisors (see below), whose sum is σ = 28415838821760. Its totient is φ = 3629877672960.

The previous prime is 12000331109999. The next prime is 12000331110071. The reversal of 12000331110042 is 24001113300021.

12000331110042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12000331109997 and 12000331110024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252036334 + ... + 252083942.

It is an arithmetic number, because the mean of its divisors is an integer number (295998321060).

Almost surely, 212000331110042 is an apocalyptic number.

12000331110042 is an abundant number, since it is smaller than the sum of its proper divisors (16415507711718).

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

12000331110042 is a wasteful number, since it uses less digits than its factorization.

12000331110042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49908 (or 49905 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12000331110042 its reverse (24001113300021), we get a palindrome (36001444410063).

The spelling of 12000331110042 in words is "twelve trillion, three hundred thirty-one million, one hundred ten thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 977 1303 1954 2606 2931 3909 5862 7818 8793 10747 11727 14333 17586 21494 23454 28666 32241 42999 47609 64482 85998 95218 96723 128997 142827 193446 257994 285654 428481 523699 856962 1047398 1273031 1571097 2546062 3142194 3819093 4713291 7638186 9426582 11457279 14003341 22914558 28006682 42010023 46513993 62034527 84020046 93027986 124069054 126030069 139541979 186103581 252060138 279083958 372207162 418625937 511653923 558310743 682379797 837251874 1023307846 1116621486 1364759594 1534961769 2047139391 3069923538 4094278782 4604885307 6141418173 9209770614 12282836346 60607732879 121215465758 181823198637 363646397274 545469595911 666685061669 1090939191822 1333370123338 2000055185007 4000110370014 6000165555021 12000331110042