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12201100120 = 2351164742859
BaseRepresentation
bin10110101110011111…
…00000001101011000
31011111022112002212001
423113033200031120
5144441440200440
65334411530344
7611232432316
oct132717401530
934438462761
1012201100120
1151a1226120
1224461599b4
1311c5a15791
1483a6090b6
154b6245b9a
hex2d73e0358

12201100120 has 64 divisors (see below), whose sum is σ = 29995142400. Its totient is φ = 4429802880.

The previous prime is 12201100091. The next prime is 12201100129. The reversal of 12201100120 is 2100110221.

12201100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12201100097 and 12201100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201100129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263251 + ... + 306109.

It is an arithmetic number, because the mean of its divisors is an integer number (468674100).

Almost surely, 212201100120 is an apocalyptic number.

12201100120 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 12201100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997571200).

12201100120 is an abundant number, since it is smaller than the sum of its proper divisors (17794042280).

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

12201100120 is a wasteful number, since it uses less digits than its factorization.

12201100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43528 (or 43524 counting only the distinct ones).

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

Adding to 12201100120 its reverse (2100110221), we get a palindrome (14301210341).

The spelling of 12201100120 in words is "twelve billion, two hundred one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 647 1294 2588 3235 5176 6470 7117 12940 14234 25880 28468 35585 42859 56936 71170 85718 142340 171436 214295 284680 342872 428590 471449 857180 942898 1714360 1885796 2357245 3771592 4714490 9428980 18857960 27729773 55459546 110919092 138648865 221838184 277297730 305027503 554595460 610055006 1109190920 1220110012 1525137515 2440220024 3050275030 6100550060 12201100120