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122313010221012 = 2231341125171527791
BaseRepresentation
bin11011110011111000110111…
…100001101000111111010100
3121001002000020222120121201010
4123303320313201220333110
5112012434021104033022
61112045453213132220
734522552262522232
oct3363706741507724
9531060228517633
10122313010221012
1135a77724637966
12118750b778a070
1353330b502c970
14222bda48cb952
15e219970b250c
hex6f3e37868fd4

122313010221012 has 96 divisors (see below), whose sum is σ = 314872357814784. Its totient is φ = 36713893708800.

The previous prime is 122313010220957. The next prime is 122313010221019. The reversal of 122313010221012 is 210122010313221.

It is a self number, because there is not a number n which added to its sum of digits gives 122313010221012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313010221019) 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, 79294837 + ... + 80822627.

It is an arithmetic number, because the mean of its divisors is an integer number (3279920393904).

Almost surely, 2122313010221012 is an apocalyptic number.

122313010221012 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 122313010221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157436178907392).

122313010221012 is an abundant number, since it is smaller than the sum of its proper divisors (192559347593772).

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

122313010221012 is a wasteful number, since it uses less digits than its factorization.

122313010221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540369 (or 1540367 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122313010221012 its reverse (210122010313221), we get a palindrome (332435020534233).

The spelling of 122313010221012 in words is "one hundred twenty-two trillion, three hundred thirteen billion, ten million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 2132 3198 6396 12517 25034 37551 50068 75102 150204 162721 325442 488163 513197 650884 976326 1026394 1527791 1539591 1952652 2052788 3055582 3079182 4583373 6111164 6158364 6671561 9166746 13343122 18333492 19861283 20014683 26686244 39722566 40029366 59583849 62639431 79445132 80058732 119167698 125278862 187918293 238335396 250557724 375836586 751673172 814312603 1628625206 2442937809 3257250412 4885875618 9771751236 19123359947 38246719894 57370079841 76493439788 114740159682 229480319364 248603679311 497207358622 745811037933 784057757827 994414717244 1491622075866 1568115515654 2352173273481 2983244151732 3136231031308 4704346546962 9408693093924 10192750851751 20385501703502 30578252555253 40771003407004 61156505110506 122313010221012