Search a number
-
+
12021022122012 = 2233304936505661
BaseRepresentation
bin1010111011101101110011…
…0000001110000000011100
31120120012100200220112212000
42232323130300032000130
53033423023130401022
641322214211042300
72350330064054661
oct256733460160034
946505320815760
1012021022122012
1139150a5667262
121421907ba0390
13692767a7b937
142d7b6b92da68
1515ca6378c6ac
hexaeedcc0e01c

12021022122012 has 48 divisors (see below), whose sum is σ = 31175835348000. Its totient is φ = 4005693060480.

The previous prime is 12021022121993. The next prime is 12021022122029. The reversal of 12021022122012 is 21022122012021.

It is a happy number.

12021022122012 is a `hidden beast` number, since 1 + 2 + 0 + 210 + 221 + 220 + 12 = 666.

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

It is a congruent number.

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, 17923539 + ... + 18582122.

It is an arithmetic number, because the mean of its divisors is an integer number (649496569750).

Almost surely, 212021022122012 is an apocalyptic number.

12021022122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12021022122012 is an abundant number, since it is smaller than the sum of its proper divisors (19154813225988).

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

12021022122012 is a wasteful number, since it uses less digits than its factorization.

12021022122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36508723 (or 36508715 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12021022122012 its reverse (21022122012021), we get a palindrome (33043144134033).

The spelling of 12021022122012 in words is "twelve trillion, twenty-one billion, twenty-two million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 3049 6098 9147 12196 18294 27441 36588 54882 82323 109764 164646 329292 36505661 73011322 109516983 146022644 219033966 328550949 438067932 657101898 985652847 1314203796 1971305694 3942611388 111305760389 222611520778 333917281167 445223041556 667834562334 1001751843501 1335669124668 2003503687002 3005255530503 4007007374004 6010511061006 12021022122012