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121222212012 = 223311239426941
BaseRepresentation
bin111000011100101101…
…0000010100110101100
3102120220011222102012000
41300321122002212230
53441230341241022
6131404432412300
711520666541506
oct1607132024654
9376804872160
10121222212012
11474568620a0
121b5b10a7090
13b57b487a45
145c1d7b8d76
15324742c6ac
hex1c396829ac

121222212012 has 96 divisors (see below), whose sum is σ = 344286028800. Its totient is φ = 36580219200.

The previous prime is 121222211989. The next prime is 121222212019. The reversal of 121222212012 is 210212222121.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (121222212019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70462 + ... + 497402.

It is an arithmetic number, because the mean of its divisors is an integer number (3586312800).

Almost surely, 2121222212012 is an apocalyptic number.

121222212012 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 121222212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172143014400).

121222212012 is an abundant number, since it is smaller than the sum of its proper divisors (223063816788).

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

121222212012 is a wasteful number, since it uses less digits than its factorization.

121222212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427204 (or 427196 counting only the distinct ones).

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

Adding to 121222212012 its reverse (210212222121), we get a palindrome (331434434133).

The spelling of 121222212012 in words is "one hundred twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 239 297 396 478 594 717 956 1188 1434 2151 2629 2868 4302 5258 6453 7887 8604 10516 12906 15774 23661 25812 31548 47322 70983 94644 141966 283932 426941 853882 1280823 1707764 2561646 3842469 4696351 5123292 7684938 9392702 11527407 14089053 15369876 18785404 23054814 28178106 42267159 46109628 56356212 84534318 102038899 126801477 169068636 204077798 253602954 306116697 408155596 507205908 612233394 918350091 1122427889 1224466788 1836700182 2244855778 2755050273 3367283667 3673400364 4489711556 5510100546 6734567334 10101851001 11020201092 13469134668 20203702002 30305553003 40407404004 60611106006 121222212012