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121323312 = 2433113211
BaseRepresentation
bin1110011101100…
…11111100110000
322110021212022000
413032303330300
5222024321222
620012214000
73002142165
oct716637460
9273255260
10121323312
1162536000
123476a300
131c19b356
141218206c
15a9b79ac
hex73b3f30

121323312 has 160 divisors (see below), whose sum is σ = 384856320. Its totient is φ = 36590400.

The previous prime is 121323311. The next prime is 121323313. The reversal of 121323312 is 213323121.

It is an interprime number because it is at equal distance from previous prime (121323311) and next prime (121323313).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121323311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574887 + ... + 575097.

It is an arithmetic number, because the mean of its divisors is an integer number (2405352).

Almost surely, 2121323312 is an apocalyptic number.

121323312 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 121323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192428160).

121323312 is an abundant number, since it is smaller than the sum of its proper divisors (263533008).

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

121323312 is a wasteful number, since it uses less digits than its factorization.

121323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 227 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 121323312 is about 11014.6861961656. The cubic root of 121323312 is about 495.0488840612.

Adding to 121323312 its reverse (213323121), we get a palindrome (334646433).

The spelling of 121323312 in words is "one hundred twenty-one million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 211 216 242 264 297 363 396 422 432 484 528 594 633 726 792 844 968 1089 1188 1266 1331 1452 1584 1688 1899 1936 2178 2321 2376 2532 2662 2904 3267 3376 3798 3993 4356 4642 4752 5064 5324 5697 5808 6534 6963 7596 7986 8712 9284 10128 10648 11394 11979 13068 13926 15192 15972 17424 18568 20889 21296 22788 23958 25531 26136 27852 30384 31944 35937 37136 41778 45576 47916 51062 52272 55704 62667 63888 71874 76593 83556 91152 95832 102124 111408 125334 143748 153186 167112 191664 204248 229779 250668 280841 287496 306372 334224 408496 459558 501336 561682 574992 612744 689337 842523 919116 1002672 1123364 1225488 1378674 1685046 1838232 2246728 2527569 2757348 3370092 3676464 4493456 5055138 5514696 6740184 7582707 10110276 11029392 13480368 15165414 20220552 30330828 40441104 60661656 121323312