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12274968491160 = 23351951331915797
BaseRepresentation
bin1011001010011111110100…
…1000101111010010011000
31121110110211122210201201120
42302213331020233102120
53102103113413204120
642035013115045240
72404560106432104
oct262477510572230
947413748721646
1012274968491160
113a0286a784011
121462b7a140820
136b06a86022ab
1430617c4d4904
15164477c86140
hexb29fd22f498

12274968491160 has 128 divisors (see below), whose sum is σ = 36857214259200. Its totient is φ = 3270454387200.

The previous prime is 12274968491117. The next prime is 12274968491209. The reversal of 12274968491160 is 6119486947221.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 12274968491094 and 12274968491103.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 777036382 + ... + 777052178.

It is an arithmetic number, because the mean of its divisors is an integer number (287946986400).

Almost surely, 212274968491160 is an apocalyptic number.

12274968491160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12274968491160 is an abundant number, since it is smaller than the sum of its proper divisors (24582245768040).

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

12274968491160 is a wasteful number, since it uses less digits than its factorization.

12274968491160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21081 (or 21077 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 12274968491160 in words is "twelve trillion, two hundred seventy-four billion, nine hundred sixty-eight million, four hundred ninety-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1951 3319 3902 5853 6638 7804 9755 9957 11706 13276 15608 15797 16595 19510 19914 23412 26552 29265 31594 33190 39020 39828 46824 47391 49785 58530 63188 66380 78040 78985 79656 94782 99570 117060 126376 132760 157970 189564 199140 234120 236955 315940 379128 398280 473910 631880 947820 1895640 6475369 12950738 19426107 25901476 30819947 32376845 38852214 51802952 52430243 61639894 64753690 77704428 92459841 97130535 104860486 123279788 129507380 154099735 155408856 157290729 184919682 194261070 209720972 246559576 259014760 262151215 308199470 314581458 369839364 388522140 419441944 462299205 524302430 616398940 629162916 739678728 777044280 786453645 924598410 1048604860 1232797880 1258325832 1572907290 1849196820 2097209720 3145814580 3698393640 6291629160 102291404093 204582808186 306874212279 409165616372 511457020465 613748424558 818331232744 1022914040930 1227496849116 1534371061395 2045828081860 2454993698232 3068742122790 4091656163720 6137484245580 12274968491160