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12121201120 = 255710999289
BaseRepresentation
bin10110100100111101…
…01101100111100000
31011021202011211000211
423102132231213200
5144311011413440
65322435223504
7606242336530
oct132236554740
934252154024
1012121201120
115160113896
122423447b94
1311b22bc372
1482db6b4c0
154ae211eea
hex2d27ad9e0

12121201120 has 96 divisors (see below), whose sum is σ = 33027825600. Its totient is φ = 4117671936.

The previous prime is 12121201109. The next prime is 12121201129. The reversal of 12121201120 is 2110212121.

It is a self number, because there is not a number n which added to its sum of digits gives 12121201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121201129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72436 + ... + 171724.

It is an arithmetic number, because the mean of its divisors is an integer number (344039850).

Almost surely, 212121201120 is an apocalyptic number.

12121201120 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 12121201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16513912800).

12121201120 is an abundant number, since it is smaller than the sum of its proper divisors (20906624480).

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

12121201120 is a wasteful number, since it uses less digits than its factorization.

12121201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99420 (or 99412 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12121201120 its reverse (2110212121), we get a palindrome (14231413241).

The spelling of 12121201120 in words is "twelve billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 109 112 140 160 218 224 280 436 545 560 763 872 1090 1120 1526 1744 2180 3052 3488 3815 4360 6104 7630 8720 12208 15260 17440 24416 30520 61040 99289 122080 198578 397156 496445 695023 794312 992890 1390046 1588624 1985780 2780092 3177248 3475115 3971560 5560184 6950230 7943120 10822501 11120368 13900460 15886240 21645002 22240736 27800920 43290004 54112505 55601840 75757507 86580008 108225010 111203680 151515014 173160016 216450020 303030028 346320032 378787535 432900040 606060056 757575070 865800080 1212120112 1515150140 1731600160 2424240224 3030300280 6060600560 12121201120