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121221211221110 = 257112131100910101
BaseRepresentation
bin11011100100000000000011…
…001110111110110001110110
3120220012122010122010211011202
4123210000003032332301312
5111342042020033033420
61105452131115332502
734350641422246040
oct3344000316766166
9526178118124152
10121221211221110
113569669955a700
1211719596451132
13528415a312090
1421d11d0690a90
15e033965b2575
hex6e40033bec76

121221211221110 has 96 divisors (see below), whose sum is σ = 295184823829056. Its totient is φ = 34876831968000.

The previous prime is 121221211221109. The next prime is 121221211221119. The reversal of 121221211221110 is 11122112122121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221211221119) 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 47 ways as a sum of consecutive naturals, for example, 550344941 + ... + 550565160.

It is an arithmetic number, because the mean of its divisors is an integer number (3074841914886).

Almost surely, 2121221211221110 is an apocalyptic number.

121221211221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121221211221110 is an abundant number, since it is smaller than the sum of its proper divisors (173963612607946).

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

121221211221110 is a wasteful number, since it uses less digits than its factorization.

121221211221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100910150 (or 1100910139 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 121221211221110 its reverse (11122112122121), we get a palindrome (132343323343231).

The spelling of 121221211221110 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 182 242 286 385 455 605 715 770 847 910 1001 1210 1430 1573 1694 2002 3146 4235 5005 7865 8470 10010 11011 15730 22022 55055 110110 1100910101 2201820202 5504550505 7706370707 11009101010 12110011111 14311831313 15412741414 24220022222 28623662626 38531853535 60550055555 71559156565 77063707070 84770077777 100182819191 121100111110 133210122221 143118313130 157430144443 169540155554 200365638382 266420244442 314860288886 423850388885 500914095955 666050611105 787150722215 847700777770 932470855547 1001828191910 1102011011101 1332101222210 1574301444430 1731731588873 1864941711094 2204022022202 3463463177746 4662354277735 5510055055505 8658657944365 9324708555470 11020110111010 12122121122111 17317315888730 24244242244222 60610605610555 121221211221110