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12001216 = 262331263
BaseRepresentation
bin101101110001…
…111111000000
3211120201120111
4231301333000
511033014331
61105121104
7204002653
oct55617700
924521514
1012001216
116857767
124029194
132642716
14184589a
1510c0db1
hexb71fc0

12001216 has 56 divisors (see below), whose sum is σ = 25749504. Its totient is φ = 5533440.

The previous prime is 12001211. The next prime is 12001261. The reversal of 12001216 is 61210021.

It is a junction number, because it is equal to n+sod(n) for n = 12001196 and 12001205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45501 + ... + 45763.

Almost surely, 212001216 is an apocalyptic number.

12001216 is a gapful number since it is divisible by the number (16) 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 12001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874752).

12001216 is an abundant number, since it is smaller than the sum of its proper divisors (13748288).

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

12001216 is a wasteful number, since it uses less digits than its factorization.

12001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 12001216 is about 3464.2771251734. The cubic root of 12001216 is about 228.9505814301.

Adding to 12001216 its reverse (61210021), we get a palindrome (73211237).

The spelling of 12001216 in words is "twelve million, one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 263 368 496 526 713 736 992 1052 1426 1472 1984 2104 2852 4208 5704 6049 8153 8416 11408 12098 16306 16832 22816 24196 32612 45632 48392 65224 96784 130448 187519 193568 260896 375038 387136 521792 750076 1500152 3000304 6000608 12001216