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121332222 = 233112383107
BaseRepresentation
bin1110011101101…
…10000111111110
322110022022112000
413032312013332
5222030112342
620012323130
73002210154
oct716660776
9273268460
10121332222
1162541770
12347734a6
131c1a241b
14121853d4
15a9ba44c
hex73b61fe

121332222 has 128 divisors (see below), whose sum is σ = 313528320. Its totient is φ = 34420320.

The previous prime is 121332217. The next prime is 121332223. The reversal of 121332222 is 222233121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121332195 and 121332204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121332223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1133893 + ... + 1133999.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2121332222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121332222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

121332222 is an abundant number, since it is smaller than the sum of its proper divisors (192196098).

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

121332222 is a wasteful number, since it uses less digits than its factorization.

121332222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 121332222 is about 11015.0906487418. The cubic root of 121332222 is about 495.0610025829.

Adding to 121332222 its reverse (222233121), we get a palindrome (343565343).

The spelling of 121332222 in words is "one hundred twenty-one million, three hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 83 99 107 138 166 198 207 214 249 253 297 321 414 498 506 594 621 642 747 759 913 963 1177 1242 1494 1518 1826 1909 1926 2241 2277 2354 2461 2739 2889 3531 3818 4482 4554 4922 5478 5727 5778 6831 7062 7383 8217 8881 10593 11454 13662 14766 16434 17181 17762 20999 21186 22149 24651 26643 27071 31779 34362 41998 44298 49302 51543 53286 54142 62997 63558 66447 79929 81213 97691 103086 125994 132894 159858 162426 188991 195382 204263 239787 243639 293073 377982 408526 479574 487278 566973 586146 612789 730917 879219 1133946 1225578 1461834 1758438 1838367 2246893 2637657 3676734 4493786 5275314 5515101 6740679 11030202 13481358 20222037 40444074 60666111 121332222