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12204241120 = 255197156543
BaseRepresentation
bin10110101110110110…
…11111000011100000
31011111112102200111101
423113123133003200
5144443241203440
65335003124144
7611301223621
oct132733370340
934445380441
1012204241120
1151a2a80a95
122447213654
1311c6575366
1483abc5a48
154b666669a
hex2d76df0e0

12204241120 has 96 divisors (see below), whose sum is σ = 30778030080. Its totient is φ = 4559546880.

The previous prime is 12204241109. The next prime is 12204241157. The reversal of 12204241120 is 2114240221.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 187569 + ... + 244111.

It is an arithmetic number, because the mean of its divisors is an integer number (320604480).

Almost surely, 212204241120 is an apocalyptic number.

12204241120 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 12204241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15389015040).

12204241120 is an abundant number, since it is smaller than the sum of its proper divisors (18573788960).

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

12204241120 is a wasteful number, since it uses less digits than its factorization.

12204241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56648 (or 56640 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12204241120 its reverse (2114240221), we get a palindrome (14318481341).

The spelling of 12204241120 in words is "twelve billion, two hundred four million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 71 76 80 95 142 152 160 190 284 304 355 380 568 608 710 760 1136 1349 1420 1520 2272 2698 2840 3040 5396 5680 6745 10792 11360 13490 21584 26980 43168 53960 56543 107920 113086 215840 226172 282715 452344 565430 904688 1074317 1130860 1809376 2148634 2261720 4014553 4297268 4523440 5371585 8029106 8594536 9046880 10743170 16058212 17189072 20072765 21486340 32116424 34378144 40145530 42972680 64232848 76276507 80291060 85945360 128465696 152553014 160582120 171890720 305106028 321164240 381382535 610212056 642328480 762765070 1220424112 1525530140 2440848224 3051060280 6102120560 12204241120