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12071292 = 22317471259
BaseRepresentation
bin101110000011…
…000101111100
3211201021200220
4232003011330
511042240132
61110421340
7204414162
oct56030574
924637626
1012071292
1168a5382
124061850
13266859c
141863232
1510d6a2c
hexb8317c

12071292 has 48 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3703552.

The previous prime is 12071281. The next prime is 12071299. The reversal of 12071292 is 29217021.

12071292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12071299) 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, 8959 + ... + 10217.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 212071292 is an apocalyptic number.

12071292 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 12071292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

12071292 is an abundant number, since it is smaller than the sum of its proper divisors (18410628).

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

12071292 is a wasteful number, since it uses less digits than its factorization.

12071292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 12071292 is about 3474.3764908254. The cubic root of 12071292 is about 229.3953367669.

The spelling of 12071292 in words is "twelve million, seventy-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 1259 1598 2397 2518 3196 3777 4794 5036 7554 9588 15108 21403 42806 59173 64209 85612 118346 128418 177519 236692 256836 355038 710076 1005941 2011882 3017823 4023764 6035646 12071292