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12192768 = 2103572
BaseRepresentation
bin101110100000…
…110000000000
3211221110100000
4232200300000
511110132033
61113200000
7205431300
oct56406000
924843300
1012192768
116978675
124100000
1326ab973
141895600
15110ca13
hexba0c00

12192768 has 198 divisors, whose sum is σ = 42471156. Its totient is φ = 3483648.

The previous prime is 12192751. The next prime is 12192769. The reversal of 12192768 is 86729121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (12096) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (12192769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1741821 + ... + 1741827.

Almost surely, 212192768 is an apocalyptic number.

12192768 is a gapful number since it is divisible by the number (18) 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 12192768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21235578).

12192768 is an abundant number, since it is smaller than the sum of its proper divisors (30278388).

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

12192768 is an frugal number, since it uses more digits than its factorization.

12192768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 12 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12192768 is about 3491.8144280589. The cubic root of 12192768 is about 230.1622547597.

The spelling of 12192768 in words is "twelve million, one hundred ninety-two thousand, seven hundred sixty-eight".