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12102000 = 243532017
BaseRepresentation
bin101110001010…
…100101110000
3211202211211020
4232022211300
511044231000
61111215440
7204602541
oct56124560
924684736
1012102000
116916459
124077580
132679561
1418704c8
1510e0ba0
hexb8a970

12102000 has 80 divisors (see below), whose sum is σ = 39036192. Its totient is φ = 3225600.

The previous prime is 12101927. The next prime is 12102001. The reversal of 12102000 is 20121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4992 + ... + 7008.

Almost surely, 212102000 is an apocalyptic number.

12102000 is a gapful number since it is divisible by the number (10) 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 12102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19518096).

12102000 is an abundant number, since it is smaller than the sum of its proper divisors (26934192).

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

12102000 is a wasteful number, since it uses less digits than its factorization.

12102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12102000 is about 3478.7928940942. The cubic root of 12102000 is about 229.5896906426.

Adding to 12102000 its reverse (20121), we get a palindrome (12122121).

The spelling of 12102000 in words is "twelve million, one hundred two thousand".