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12150072 = 23321123229
BaseRepresentation
bin101110010110…
…010100111000
3211212021202200
4232112110320
511102300242
61112230200
7205162644
oct56262470
924767680
1012150072
116949590
12409b360
1326953bc
141883c24
15110004c
hexb96538

12150072 has 144 divisors (see below), whose sum is σ = 38820600. Its totient is φ = 3400320.

The previous prime is 12150071. The next prime is 12150077. The reversal of 12150072 is 27005121.

12150072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12150071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 418954 + ... + 418982.

Almost surely, 212150072 is an apocalyptic number.

12150072 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 12150072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19410300).

12150072 is an abundant number, since it is smaller than the sum of its proper divisors (26670528).

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

12150072 is a wasteful number, since it uses less digits than its factorization.

12150072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12150072 is about 3485.6953395270. The cubic root of 12150072 is about 229.8932838265.

Adding to 12150072 its reverse (27005121), we get a palindrome (39155193).

The spelling of 12150072 in words is "twelve million, one hundred fifty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 29 33 36 44 46 58 66 69 72 87 88 92 99 116 132 138 174 184 198 207 232 253 261 264 276 319 348 396 414 506 522 529 552 638 667 696 759 792 828 957 1012 1044 1058 1276 1334 1518 1587 1656 1914 2001 2024 2088 2116 2277 2552 2668 2871 3036 3174 3828 4002 4232 4554 4761 5336 5742 5819 6003 6072 6348 7337 7656 8004 9108 9522 11484 11638 12006 12696 14674 15341 16008 17457 18216 19044 22011 22968 23276 24012 29348 30682 34914 38088 44022 46023 46552 48024 52371 58696 61364 66033 69828 88044 92046 104742 122728 132066 138069 139656 168751 176088 184092 209484 264132 276138 337502 368184 418968 506253 528264 552276 675004 1012506 1104552 1350008 1518759 2025012 3037518 4050024 6075036 12150072