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121666212 = 22351737199
BaseRepresentation
bin1110100000001…
…11101010100100
322110221021200000
413100013222210
5222121304322
620023421300
73005100663
oct720075244
9273837600
10121666212
116274a698
12348b4830
131c28b455
1412230dda
15aa343ac
hex7407aa4

121666212 has 144 divisors (see below), whose sum is σ = 348566400. Its totient is φ = 36951552.

The previous prime is 121666189. The next prime is 121666213. The reversal of 121666212 is 212666121.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121666213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611289 + ... + 611487.

It is an arithmetic number, because the mean of its divisors is an integer number (2420600).

Almost surely, 2121666212 is an apocalyptic number.

121666212 is a gapful number since it is divisible by the number (12) 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 121666212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200).

121666212 is an abundant number, since it is smaller than the sum of its proper divisors (226900188).

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

121666212 is a wasteful number, since it uses less digits than its factorization.

121666212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 121666212 is about 11030.2407951957. The cubic root of 121666212 is about 495.5148362478.

Subtracting 121666212 from its reverse (212666121), we obtain a palindrome (90999909).

The spelling of 121666212 in words is "one hundred twenty-one million, six hundred sixty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 51 54 68 74 81 102 108 111 148 153 162 199 204 222 243 306 324 333 398 444 459 486 597 612 629 666 796 918 972 999 1194 1258 1332 1377 1791 1836 1887 1998 2388 2516 2754 2997 3383 3582 3774 3996 4131 5373 5508 5661 5994 6766 7164 7363 7548 8262 8991 10149 10746 11322 11988 13532 14726 16119 16524 16983 17982 20298 21492 22089 22644 29452 30447 32238 33966 35964 40596 44178 48357 50949 60894 64476 66267 67932 88356 91341 96714 101898 121788 125171 132534 152847 182682 193428 198801 203796 250342 265068 274023 305694 365364 375513 397602 500684 548046 596403 611388 751026 795204 822069 1096092 1126539 1192806 1502052 1644138 1789209 2253078 2385612 3288276 3379617 3578418 4506156 6759234 7156836 10138851 13518468 20277702 30416553 40555404 60833106 121666212