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12150216 = 2333134327
BaseRepresentation
bin101110010110…
…010111001000
3211212021222000
4232112113020
511102301331
61112231000
7205163241
oct56262710
924767860
1012150216
116949701
12409b460
1326954a0
141883cc8
1511000e6
hexb965c8

12150216 has 64 divisors (see below), whose sum is σ = 36355200. Its totient is φ = 3737664.

The previous prime is 12150211. The next prime is 12150221. The reversal of 12150216 is 61205121.

12150216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12150211) and next prime (12150221).

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

It is not an unprimeable number, because it can be changed into a prime (12150211) 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, 645 + ... + 4971.

It is an arithmetic number, because the mean of its divisors is an integer number (568050).

Almost surely, 212150216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12150216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177600).

12150216 is an abundant number, since it is smaller than the sum of its proper divisors (24204984).

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

12150216 is a wasteful number, since it uses less digits than its factorization.

12150216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 12150216 is about 3485.7159953157. The cubic root of 12150216 is about 229.8941920379.

Adding to 12150216 its reverse (61205121), we get a palindrome (73355337).

It can be divided in two parts, 12150 and 216, that multiplied together give a square (2624400 = 16202).

The spelling of 12150216 in words is "twelve million, one hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4327 8654 12981 17308 25962 34616 38943 51924 56251 77886 103848 112502 116829 155772 168753 225004 233658 311544 337506 450008 467316 506259 675012 934632 1012518 1350024 1518777 2025036 3037554 4050072 6075108 12150216