Search a number
-
+
12021312 = 2631729127
BaseRepresentation
bin101101110110…
…111001000000
3211121202010210
4231312321000
511034140222
61105354120
7204115362
oct55667100
924552123
1012021312
116870876
124038940
13264b904
14184cd32
1510c6d0c
hexb76e40

12021312 has 112 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 3612672.

The previous prime is 12021311. The next prime is 12021353. The reversal of 12021312 is 21312021.

12021312 is digitally balanced in base 2 and base 4, because in such bases 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021311) 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, 94593 + ... + 94719.

Almost surely, 212021312 is an apocalyptic number.

12021312 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 12021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

12021312 is an abundant number, since it is smaller than the sum of its proper divisors (23091648).

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

12021312 is a wasteful number, since it uses less digits than its factorization.

12021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12021312 is about 3467.1763727852. The cubic root of 12021312 is about 229.0783025198.

Adding to 12021312 its reverse (21312021), we get a palindrome (33333333).

The spelling of 12021312 in words is "twelve million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 127 136 174 192 204 232 254 272 348 381 408 464 493 508 544 696 762 816 928 986 1016 1088 1392 1479 1524 1632 1856 1972 2032 2159 2784 2958 3048 3264 3683 3944 4064 4318 5568 5916 6096 6477 7366 7888 8128 8636 11049 11832 12192 12954 14732 15776 17272 22098 23664 24384 25908 29464 31552 34544 44196 47328 51816 58928 62611 69088 88392 94656 103632 117856 125222 138176 176784 187833 207264 235712 250444 353568 375666 414528 500888 707136 751332 1001776 1502664 2003552 3005328 4007104 6010656 12021312