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121200222 = 231113294871
BaseRepresentation
bin1110011100101…
…01111001011110
322110001121110010
413032111321132
5222011401342
620005424050
73001120263
oct716257136
9273047403
10121200222
1162461580
123470b026
131c157310
141214d26a
15a99129c
hex7395e5e

121200222 has 64 divisors (see below), whose sum is σ = 294658560. Its totient is φ = 32726400.

The previous prime is 121200181. The next prime is 121200227. The reversal of 121200222 is 222002121.

It is a junction number, because it is equal to n+sod(n) for n = 121200198 and 121200207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121200227) 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 31 ways as a sum of consecutive naturals, for example, 22447 + ... + 27317.

It is an arithmetic number, because the mean of its divisors is an integer number (4604040).

Almost surely, 2121200222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121200222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147329280).

121200222 is an abundant number, since it is smaller than the sum of its proper divisors (173458338).

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

121200222 is a wasteful number, since it uses less digits than its factorization.

121200222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 121200222 is about 11009.0972381935. The cubic root of 121200222 is about 494.8814081782.

Adding to 121200222 its reverse (222002121), we get a palindrome (343202343).

The spelling of 121200222 in words is "one hundred twenty-one million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 174 286 319 377 429 638 754 858 957 1131 1914 2262 4147 4871 8294 9742 12441 14613 24882 29226 53581 63323 107162 126646 141259 160743 189969 282518 321486 379938 423777 696553 847554 1393106 1553849 1836367 2089659 3107698 3672734 4179318 4661547 5509101 9323094 11018202 20200037 40400074 60600111 121200222