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12001220212122 = 233222244818743
BaseRepresentation
bin1010111010100100000001…
…1101111011010110011010
31120111022020200010022011000
42232221000131323112122
53033111444333241442
641305141235245430
72346026265442161
oct256510035732632
946438220108130
1012001220212122
113907763a36279
121419b00449876
1369093043cbab
142d6c0da903d8
1515c2a50eed4c
hexaea4077b59a

12001220212122 has 16 divisors (see below), whose sum is σ = 26669378249280. Its totient is φ = 4000406737356.

The previous prime is 12001220212109. The next prime is 12001220212123. The reversal of 12001220212122 is 22121202210021.

It is a happy number.

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 = 12001220212095 and 12001220212104.

It is not an unprimeable number, because it can be changed into a prime (12001220212123) 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 7 ways as a sum of consecutive naturals, for example, 111122409318 + ... + 111122409425.

It is an arithmetic number, because the mean of its divisors is an integer number (1666836140580).

Almost surely, 212001220212122 is an apocalyptic number.

12001220212122 is an abundant number, since it is smaller than the sum of its proper divisors (14668158037158).

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

12001220212122 is a wasteful number, since it uses less digits than its factorization.

12001220212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222244818754 (or 222244818748 counting only the distinct ones).

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

Adding to 12001220212122 its reverse (22121202210021), we get a palindrome (34122422422143).

The spelling of 12001220212122 in words is "twelve trillion, one billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 222244818743 444489637486 666734456229 1333468912458 2000203368687 4000406737374 6000610106061 12001220212122