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121020100012 = 227191012937687
BaseRepresentation
bin111000010110101011…
…1000010110110101100
3102120101002200001122101
41300231113002312230
53440322121200022
6131332412424444
711512663606630
oct1605527026654
9376332601571
10121020100012
1147362767389
121b555478124
13b548641346
145c00a06dc0
153234807627
hex1c2d5c2dac

121020100012 has 96 divisors (see below), whose sum is σ = 258213473280. Its totient is φ = 48477139200.

The previous prime is 121020099979. The next prime is 121020100051. The reversal of 121020100012 is 210001020121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15739633 + ... + 15747319.

It is an arithmetic number, because the mean of its divisors is an integer number (2689723680).

Almost surely, 2121020100012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121020100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129106736640).

121020100012 is an abundant number, since it is smaller than the sum of its proper divisors (137193373268).

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

121020100012 is a wasteful number, since it uses less digits than its factorization.

121020100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8111 (or 8109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121020100012 its reverse (210001020121), we get a palindrome (331021120133).

The spelling of 121020100012 in words is "one hundred twenty-one billion, twenty million, one hundred thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 76 101 133 202 266 293 404 532 586 707 1172 1414 1919 2051 2828 3838 4102 5567 7676 7687 8204 11134 13433 15374 22268 26866 29593 30748 38969 53732 53809 59186 77938 107618 118372 146053 155876 207151 215236 292106 414302 562267 584212 776387 828604 1022371 1124534 1552774 2044742 2249068 2252291 3105548 3935869 4089484 4504582 5434709 7871738 9009164 10869418 14751353 15743476 15766037 21738836 29502706 31532074 42793529 59005412 63064148 85587058 103259471 171174116 206518942 227481391 299554703 413037884 454962782 599109406 909925564 1198218812 1592369737 3184739474 4322146429 6369478948 8644292858 17288585716 30255025003 60510050006 121020100012