Search a number
-
+
122011344 = 24327139311
BaseRepresentation
bin1110100010110…
…11111011010000
322111120211002200
413101123323100
5222213330334
620035043200
73011036130
oct721337320
9274524080
10122011344
1162965a24
1234a40500
131c37c580
14122c0ac0
15aaa1799
hex745bed0

122011344 has 120 divisors (see below), whose sum is σ = 420306432. Its totient is φ = 32175360.

The previous prime is 122011301. The next prime is 122011361. The reversal of 122011344 is 443110221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8449 + ... + 17759.

Almost surely, 2122011344 is an apocalyptic number.

122011344 is a gapful number since it is divisible by the number (14) 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 122011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210153216).

122011344 is an abundant number, since it is smaller than the sum of its proper divisors (298295088).

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

122011344 is a wasteful number, since it uses less digits than its factorization.

122011344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345 (or 9336 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122011344 is about 11045.8745240022. The cubic root of 122011344 is about 495.9829381922.

Adding to 122011344 its reverse (443110221), we get a palindrome (565121565).

The spelling of 122011344 in words is "one hundred twenty-two million, eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 9311 13104 18622 27933 37244 55866 65177 74488 83799 111732 121043 130354 148976 167598 195531 223464 242086 260708 335196 363129 391062 446928 484172 521416 586593 670392 726258 782124 847301 968344 1042832 1089387 1173186 1340784 1452516 1564248 1694602 1936688 2178774 2346372 2541903 2905032 3128496 3389204 4357548 4692744 5083806 5810064 6778408 7625709 8715096 9385488 10167612 13556816 15251418 17430192 20335224 30502836 40670448 61005672 122011344