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12110221010120 = 235539029632669
BaseRepresentation
bin1011000000111010000101…
…1010111110010011001000
31120212201121010100120001112
42300032201122332103020
53041403213034310440
641431205252505452
72356635365104232
oct260164132762310
946781533316045
1012110221010120
113949a09058102
12143706061b288
1369acb191bbbc
142dc1d0293252
15160034622965
hexb03a16be4c8

12110221010120 has 64 divisors (see below), whose sum is σ = 27765229086000. Its totient is φ = 4752156617728.

The previous prime is 12110221010113. The next prime is 12110221010143. The reversal of 12110221010120 is 2101012201121.

It can be written as a sum of positive squares in 8 ways, for example, as 8049488214244 + 4060732795876 = 2837162^2 + 2015126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12110221010095 and 12110221010104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18825146 + ... + 19457814.

Almost surely, 212110221010120 is an apocalyptic number.

12110221010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110221010120 is an abundant number, since it is smaller than the sum of its proper divisors (15655008075880).

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

12110221010120 is a wasteful number, since it uses less digits than its factorization.

12110221010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641762 (or 641758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12110221010120 its reverse (2101012201121), we get a palindrome (14211233211241).

The spelling of 12110221010120 in words is "twelve trillion, one hundred ten billion, two hundred twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 9029 18058 36116 45145 72232 90290 180580 361160 478537 632669 957074 1265338 1914148 2392685 2530676 3163345 3828296 4785370 5061352 6326690 9570740 12653380 19141480 25306760 33531457 67062914 134125828 167657285 268251656 335314570 670629140 1341258280 5712368401 11424736802 22849473604 28561842005 45698947208 57123684010 114247368020 228494736040 302755525253 605511050506 1211022101012 1513777626265 2422044202024 3027555252530 6055110505060 12110221010120