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12120111122010 = 2351087961938639
BaseRepresentation
bin1011000001011110111011…
…1010110000011001011010
31120220200010101100022000220
42300113232322300121122
53042033441421401020
641435522512140510
72360435436501543
oct260275672603132
946820111308026
1012120111122010
1139531238375a1
121438b60837736
1369bbc9912c08
142dc88b9ad4ca
15160412a26240
hexb05eeeb065a

12120111122010 has 64 divisors (see below), whose sum is σ = 29118807244800. Its totient is φ = 3228637027392.

The previous prime is 12120111121997. The next prime is 12120111122017. The reversal of 12120111122010 is 1022111102121.

It is a happy number.

It is a super-4 number, since 4×121201111220104 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12120111122017) by changing a digit.

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, 313656271 + ... + 313694909.

It is an arithmetic number, because the mean of its divisors is an integer number (454981363200).

Almost surely, 212120111122010 is an apocalyptic number.

12120111122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120111122010 is an abundant number, since it is smaller than the sum of its proper divisors (16998696122790).

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

12120111122010 is a wasteful number, since it uses less digits than its factorization.

12120111122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49355.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12120111122010 its reverse (1022111102121), we get a palindrome (13142222224131).

The spelling of 12120111122010 in words is "twelve trillion, one hundred twenty billion, one hundred eleven million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 1087 2174 3261 5435 6522 9619 10870 16305 19238 28857 32610 38639 48095 57714 77278 96190 115917 144285 193195 231834 288570 386390 579585 1159170 10455853 20911706 31367559 42000593 52279265 62735118 84001186 104558530 126001779 156837795 210002965 252003558 313675590 371668541 420005930 630008895 743337082 1115005623 1260017790 1858342705 2230011246 3716685410 5575028115 11150056230 404003704067 808007408134 1212011112201 2020018520335 2424022224402 4040037040670 6060055561005 12120111122010