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1221212243412 = 223277939829
BaseRepresentation
bin10001110001010101111…
…011000000010111010100
311022202011101021201120100
4101301111323000113110
5130002020313242122
62333003412334100
7154141530540210
oct21612573002724
94282141251510
101221212243412
11430a05524577
12178819614330
138b210182825
144316d809940
1521b770aeaac
hex11c55ec05d4

1221212243412 has 144 divisors (see below), whose sum is σ = 3573540006400. Its totient is φ = 344466053568.

The previous prime is 1221212243399. The next prime is 1221212243413. The reversal of 1221212243412 is 2143422121221.

1221212243412 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 1 + 2 + 243 + 412 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221212243413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124240914 + ... + 124250742.

Almost surely, 21221212243412 is an apocalyptic number.

1221212243412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221212243412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786770003200).

1221212243412 is an abundant number, since it is smaller than the sum of its proper divisors (2352327762988).

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

1221212243412 is an frugal number, since it uses more digits than its factorization.

1221212243412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083 (or 9920 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 1221212243412 its reverse (2143422121221), we get a palindrome (3364634364633).

The spelling of 1221212243412 in words is "one trillion, two hundred twenty-one billion, two hundred twelve million, two hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4977 6241 6636 9829 9954 12482 18723 19658 19908 24964 29487 37446 39316 43687 56169 58974 68803 74892 87374 88461 112338 117948 131061 137606 174748 176922 206409 224676 262122 275212 353844 393183 412818 493039 524244 619227 776491 786366 825636 986078 1238454 1479117 1552982 1572732 1972156 2329473 2476908 2958234 3105964 3451273 4437351 4658946 5435437 5916468 6902546 6988419 8874702 9317892 10353819 10870874 13805092 13976838 16306311 17749404 20707638 21741748 27953676 31061457 32612622 41415276 48918933 61342789 62122914 65225244 97837866 122685578 124245828 184028367 195675732 245371156 368056734 429399523 552085101 736113468 858799046 1104170202 1288198569 1717598092 2208340404 2576397138 3864595707 4846080331 5152794276 7729191414 9692160662 14538240993 15458382828 19384321324 29076481986 33922562317 43614722979 58152963972 67845124634 87229445958 101767686951 135690249268 174458891916 203535373902 305303060853 407070747804 610606121706 1221212243412