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12102048 = 253472329
BaseRepresentation
bin101110001010…
…100110100000
3211202211220000
4232022212200
511044231143
61111220000
7204602640
oct56124640
924684800
1012102048
1169164a2
124077600
13267959a
141870520
1510e0bd3
hexb8a9a0

12102048 has 240 divisors, whose sum is σ = 43908480. Its totient is φ = 3193344.

The previous prime is 12102043. The next prime is 12102067. The reversal of 12102048 is 84020121.

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

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 12102048.

It is not an unprimeable number, because it can be changed into a prime (12102043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417298 + ... + 417326.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 212102048 is an apocalyptic number.

12102048 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 12102048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

12102048 is an abundant number, since it is smaller than the sum of its proper divisors (31806432).

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

12102048 is a wasteful number, since it uses less digits than its factorization.

12102048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12102048 is about 3478.7997930321. The cubic root of 12102048 is about 229.5899941817.

Adding to 12102048 its reverse (84020121), we get a palindrome (96122169).

The spelling of 12102048 in words is "twelve million, one hundred two thousand, forty-eight".