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12501216 = 253471353
BaseRepresentation
bin101111101100…
…000011100000
3212112010110000
4233230003200
511200014331
61123540000
7211154460
oct57540340
925463400
1012501216
117069392
12422a600
132789190
141935ba0
15116e0e6
hexbec0e0

12501216 has 240 divisors, whose sum is σ = 46103904. Its totient is φ = 3234816.

The previous prime is 12501193. The next prime is 12501257. The reversal of 12501216 is 61210521.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235846 + ... + 235898.

Almost surely, 212501216 is an apocalyptic number.

12501216 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 12501216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051952).

12501216 is an abundant number, since it is smaller than the sum of its proper divisors (33602688).

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

12501216 is a wasteful number, since it uses less digits than its factorization.

12501216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

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

The square root of 12501216 is about 3535.7058701199. The cubic root of 12501216 is about 232.0869669993.

Adding to 12501216 its reverse (61210521), we get a palindrome (73711737).

The spelling of 12501216 in words is "twelve million, five hundred one thousand, two hundred sixteen".