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12101201120 = 2551733113441
BaseRepresentation
bin10110100010100100…
…11010110011100000
31011020100112201012002
423101102122303200
5144240401413440
65320442423132
7605610340511
oct132122326340
934210481162
1012101201120
11514a8a3568
122418801aa8
1311ab108c48
1482b242a08
154ac5b1115
hex2d149ace0

12101201120 has 96 divisors (see below), whose sum is σ = 30364510176. Its totient is φ = 4541644800.

The previous prime is 12101201087. The next prime is 12101201131. The reversal of 12101201120 is 2110210121.

It is a congruent number.

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, 893600 + ... + 907040.

It is an arithmetic number, because the mean of its divisors is an integer number (316296981).

Almost surely, 212101201120 is an apocalyptic number.

12101201120 is a gapful number since it is divisible by the number (10) 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 12101201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182255088).

12101201120 is an abundant number, since it is smaller than the sum of its proper divisors (18263309056).

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

12101201120 is a wasteful number, since it uses less digits than its factorization.

12101201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13804 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12101201120 its reverse (2110210121), we get a palindrome (14211411241).

Subtracting from 12101201120 its reverse (2110210121), we obtain a palindrome (9990990999).

The spelling of 12101201120 in words is "twelve billion, one hundred one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 331 340 544 662 680 1324 1360 1655 2648 2720 3310 5296 5627 6620 10592 11254 13240 13441 22508 26480 26882 28135 45016 52960 53764 56270 67205 90032 107528 112540 134410 180064 215056 225080 228497 268820 430112 450160 456994 537640 900320 913988 1075280 1142485 1827976 2150560 2284970 3655952 4448971 4569940 7311904 8897942 9139880 17795884 18279760 22244855 35591768 36559520 44489710 71183536 75632507 88979420 142367072 151265014 177958840 302530028 355917680 378162535 605060056 711835360 756325070 1210120112 1512650140 2420240224 3025300280 6050600560 12101201120