Search a number
-
+
123221220 = 223561131257
BaseRepresentation
bin1110101100000…
…11010011100100
322120212021201220
413112003103210
5223021034340
620121020340
73024235353
oct726032344
9276767656
10123221220
1163611a21
12353246b0
131c6b4185
141251799a
15ac3eed0
hex75834e4

123221220 has 96 divisors (see below), whose sum is σ = 354727296. Its totient is φ = 31948800.

The previous prime is 123221191. The next prime is 123221221. The reversal of 123221220 is 22122321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123221220.

It is not an unprimeable number, because it can be changed into a prime (123221221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479332 + ... + 479588.

It is an arithmetic number, because the mean of its divisors is an integer number (3695076).

Almost surely, 2123221220 is an apocalyptic number.

123221220 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 123221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177363648).

123221220 is an abundant number, since it is smaller than the sum of its proper divisors (231506076).

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

123221220 is a wasteful number, since it uses less digits than its factorization.

123221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 123221220 is about 11100.5053938999. The cubic root of 123221220 is about 497.6169535568.

Adding to 123221220 its reverse (22122321), we get a palindrome (145343541).

The spelling of 123221220 in words is "one hundred twenty-three million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 131 183 244 257 262 305 366 393 514 524 610 655 732 771 786 915 1028 1220 1285 1310 1542 1572 1830 1965 2570 2620 3084 3660 3855 3930 5140 7710 7860 7991 15420 15677 15982 23973 31354 31964 33667 39955 47031 47946 62708 67334 78385 79910 94062 95892 101001 119865 134668 156770 159820 168335 188124 202002 235155 239730 313540 336670 404004 470310 479460 505005 673340 940620 1010010 2020020 2053687 4107374 6161061 8214748 10268435 12322122 20536870 24644244 30805305 41073740 61610610 123221220