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12412092 = 223721119101
BaseRepresentation
bin101111010110…
…010010111100
3212100121012010
4233112102330
511134141332
61122011220
7210333600
oct57262274
925317163
1012412092
117008430
1241a6b10
132757744
141911500
1511529cc
hexbd64bc

12412092 has 144 divisors (see below), whose sum is σ = 39070080. Its totient is φ = 3024000.

The previous prime is 12412067. The next prime is 12412109. The reversal of 12412092 is 29021421.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122842 + ... + 122942.

It is an arithmetic number, because the mean of its divisors is an integer number (271320).

Almost surely, 212412092 is an apocalyptic number.

12412092 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 12412092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040).

12412092 is an abundant number, since it is smaller than the sum of its proper divisors (26657988).

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

12412092 is a wasteful number, since it uses less digits than its factorization.

12412092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12412092 is about 3523.0799025852. The cubic root of 12412092 is about 231.5341175982.

It can be divided in two parts, 1241 and 2092, that added together give a palindrome (3333).

The spelling of 12412092 in words is "twelve million, four hundred twelve thousand, ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 49 57 66 76 77 84 98 101 114 132 133 147 154 196 202 209 228 231 266 294 303 308 399 404 418 462 532 539 588 606 627 707 798 836 924 931 1078 1111 1212 1254 1414 1463 1596 1617 1862 1919 2121 2156 2222 2508 2793 2828 2926 3234 3333 3724 3838 4242 4389 4444 4949 5586 5757 5852 6468 6666 7676 7777 8484 8778 9898 10241 11172 11514 13332 13433 14847 15554 17556 19796 20482 21109 23028 23331 26866 29694 30723 31108 40299 40964 42218 46662 53732 54439 59388 61446 63327 80598 84436 93324 94031 108878 122892 126654 147763 161196 163317 188062 217756 253308 282093 295526 326634 376124 443289 564186 591052 653268 886578 1034341 1128372 1773156 2068682 3103023 4137364 6206046 12412092