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121311210102012 = 223371271263500501
BaseRepresentation
bin11011100101010011110111…
…100101011101110011111100
3120220112020102210220200012000
4123211103313211131303330
5111400030324241231022
61110001333415542300
734360305606151650
oct3345236745356374
9526466383820160
10121311210102012
1135720882586a17
1211732b1298a990
13528c7a0b31b68
1421d56cb37aa60
15e058b27bc6ac
hex6e54f795dcfc

121311210102012 has 96 divisors (see below), whose sum is σ = 362270863933440. Its totient is φ = 34387429608000.

The previous prime is 121311210102011. The next prime is 121311210102059. The reversal of 121311210102012 is 210201012113121.

It is a happy number.

121311210102012 is a `hidden beast` number, since 121 + 311 + 21 + 0 + 10 + 201 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121311210102011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631654239 + ... + 631846262.

It is an arithmetic number, because the mean of its divisors is an integer number (3773654832640).

Almost surely, 2121311210102012 is an apocalyptic number.

121311210102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121311210102012 is an abundant number, since it is smaller than the sum of its proper divisors (240959653831428).

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

121311210102012 is a wasteful number, since it uses less digits than its factorization.

121311210102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263500648 (or 1263500640 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 121311210102012 its reverse (210201012113121), we get a palindrome (331512222215133).

The spelling of 121311210102012 in words is "one hundred twenty-one trillion, three hundred eleven billion, two hundred ten million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 127 189 252 254 378 381 508 756 762 889 1143 1524 1778 2286 2667 3429 3556 4572 5334 6858 8001 10668 13716 16002 24003 32004 48006 96012 1263500501 2527001002 3790501503 5054002004 7581003006 8844503507 11371504509 15162006012 17689007014 22743009018 26533510521 34114513527 35378014028 45486018036 53067021042 68229027054 79600531563 106134042084 136458054108 159201063126 160464563627 238801594689 318402126252 320929127254 477603189378 481393690881 641858254508 955206378756 962787381762 1123251945389 1444181072643 1925574763524 2246503890778 2888362145286 3369755836167 4332543217929 4493007781556 5776724290572 6739511672334 8665086435858 10109267508501 13479023344668 17330172871716 20218535017002 30327802525503 40437070034004 60655605051006 121311210102012