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12098112 = 2631337131
BaseRepresentation
bin101110001001…
…101001000000
3211202122111020
4232021221000
511044114422
61111145440
7204555315
oct56115100
924678436
1012098112
116913544
124075280
132677860
14186cd0c
1510de95c
hexb89a40

12098112 has 112 divisors (see below), whose sum is σ = 35673792. Its totient is φ = 3594240.

The previous prime is 12098111. The next prime is 12098113. The reversal of 12098112 is 21189021.

It is an interprime number because it is at equal distance from previous prime (12098111) and next prime (12098113).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12098111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92287 + ... + 92417.

It is an arithmetic number, because the mean of its divisors is an integer number (318516).

Almost surely, 212098112 is an apocalyptic number.

12098112 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 12098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17836896).

12098112 is an abundant number, since it is smaller than the sum of its proper divisors (23575680).

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

12098112 is a wasteful number, since it uses less digits than its factorization.

12098112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 12098112 is about 3478.2340346791. The cubic root of 12098112 is about 229.5651013095.

Subtracting 12098112 from its reverse (21189021), we obtain a palindrome (9090909).

The spelling of 12098112 in words is "twelve million, ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 131 148 156 192 208 222 262 296 312 393 416 444 481 524 592 624 786 832 888 962 1048 1184 1248 1443 1572 1703 1776 1924 2096 2368 2496 2886 3144 3406 3552 3848 4192 4847 5109 5772 6288 6812 7104 7696 8384 9694 10218 11544 12576 13624 14541 15392 19388 20436 23088 25152 27248 29082 30784 38776 40872 46176 54496 58164 63011 77552 81744 92352 108992 116328 126022 155104 163488 189033 232656 252044 310208 326976 378066 465312 504088 756132 930624 1008176 1512264 2016352 3024528 4032704 6049056 12098112